{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "fde8588b-4062-4997-825f-c8158458d15b",
   "metadata": {},
   "source": [
    "# Logistic Regression"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "209824bb-a563-437e-abce-776461a23456",
   "metadata": {},
   "source": [
    "## The data"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "55ae2466-6eac-4e7e-b46f-216a91948dc9",
   "metadata": {},
   "source": [
    "我们将建议一个逻辑回归模型来预测一个学生是否被大学录取。\n",
    "假设你是一个大学系的管理员，你想根据两次考试的结果来决定每个申请人的录取机会。\n",
    "你有以前的申请人的历史数据，你可以用它作为逻辑回归的训练集。\n",
    "对于每一个培训例子，你有两个考试的申请人的分数和录取决定。\n",
    "为了做到这一点，我们将建立一个分类模型，根据考试成绩估计入学概率。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "619e4e54-40a2-4df3-a508-fe7d58096a36",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "9144a572-34dc-4892-9005-e74f50a506e6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Exam 1</th>\n",
       "      <th>Exam 2</th>\n",
       "      <th>Admitted</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>34.623660</td>\n",
       "      <td>78.024693</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>30.286711</td>\n",
       "      <td>43.894998</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>35.847409</td>\n",
       "      <td>72.902198</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>60.182599</td>\n",
       "      <td>86.308552</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>79.032736</td>\n",
       "      <td>75.344376</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      Exam 1     Exam 2  Admitted\n",
       "0  34.623660  78.024693         0\n",
       "1  30.286711  43.894998         0\n",
       "2  35.847409  72.902198         0\n",
       "3  60.182599  86.308552         1\n",
       "4  79.032736  75.344376         1"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import os\n",
    "path = 'LogiReg_data.txt'\n",
    "pdData = pd.read_csv(path, header=None, names=['Exam 1', 'Exam 2', 'Admitted'])\n",
    "pdData.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "319329e9-2861-4977-8a0f-9888af3462d5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 3)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pdData.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "12ef0956-a5e0-441c-aa34-25225d4bfd38",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "positive = pdData[pdData['Admitted'] == 1]  # 被录取\n",
    "negative = pdData[pdData['Admitted'] == 0]  # 未录取\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10, 5))\n",
    "ax.scatter(positive['Exam 1'], positive['Exam 2'], s=30, c='b', marker='o', label='Admitted')\n",
    "ax.scatter(negative['Exam 1'], negative['Exam 2'], s=30, c='r', marker='x', label='Not Admitted')\n",
    "\n",
    "ax.legend()\n",
    "ax.set_xlabel('Exam 1 Score')\n",
    "ax.set_ylabel('Exam 2 Score')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b37d5ab1-3604-452d-b192-3617d0d21062",
   "metadata": {},
   "source": [
    "## The Logistic Regression"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "252d37d5-fb3e-41d2-accd-96b81390ffc9",
   "metadata": {},
   "source": [
    "- 目标：建立分类器（求解出三个参数$\\theta_0 \\theta_1 \\theta_2$）\n",
    "- 设定阈值，根据阈值判断录取结果"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8925a5b7-9987-4c64-b3d4-05d7a248b98d",
   "metadata": {},
   "source": [
    "### 要完成的模块"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ab0bf69-ac9f-4100-b1d1-bc66546c5057",
   "metadata": {},
   "source": [
    "- `sigmoid`:映射到概率的函数\n",
    "- `model`:返回预测结果值\n",
    "- `cost`:根据参数计算损失\n",
    "- `gradient`:计算每个参数的梯度方向\n",
    "- `descent`:进行参数更新\n",
    "- `accuracy`:计算进度"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fee3fa65-d6ae-4b5e-a7e2-1b35edb2b297",
   "metadata": {},
   "source": [
    "### `sigmoid`函数"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3b11ee76-df56-4db1-9d8d-e4dfa189d06a",
   "metadata": {},
   "source": [
    "$$\n",
    "g(z) = \\frac{1}{1+e^{-z}}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "a9821e58-fbf8-4bba-a103-d897ae8f9c92",
   "metadata": {},
   "outputs": [],
   "source": [
    "def sigmoid(z):\n",
    "    return 1 / (1 + np.exp(-z))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ba9ab0e3-8842-4945-be34-d4759bf34d98",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA9UAAAFfCAYAAABA/u+IAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy80BEi2AAAACXBIWXMAAA9hAAAPYQGoP6dpAAA7IUlEQVR4nO3de1xUdeLG8WdAGDQFNAQvoaiVmqaWFxartTaS1LVsu/hTE9K0MjWVthIrXbuIlbcyi7TUtC3NattWTVPKyiTdTCytLFPzCt5BsUBnzu+Ps4IoIDMCZy6f9+s1rznz5ZyZZ3b2CE/nzPfYDMMwBAAAAAAAXBZgdQAAAAAAALwVpRoAAAAAADdRqgEAAAAAcBOlGgAAAAAAN1GqAQAAAABwE6UaAAAAAAA3UaoBAAAAAHBTNasDlIfT6dTevXtVq1Yt2Ww2q+MAAAAAAHycYRg6duyYGjRooICA0o9He0Wp3rt3r6Kjo62OAQAAAADwM7t27dIll1xS6s+9olTXqlVLkvlmQkNDLU4DAAAAAPB1ubm5io6OLuyjpfGKUn36lO/Q0FBKNQAAAACgypzvK8hMVAYAAAAAgJso1QAAAAAAuIlSDQAAAACAmyjVAAAAAAC4iVINAAAAAICbKNUAAAAAALiJUg0AAAAAgJtcLtVffPGFevbsqQYNGshms+nDDz887zarVq3S1VdfLbvdrksvvVRz5851IyoAAAAAAJ7F5VKdl5entm3basaMGeVaf/v27erRo4duuOEGZWZmauTIkRo0aJCWL1/uclgAAAAAADxJNVc36Natm7p161bu9dPS0tSkSRNNnjxZktSyZUutXr1aU6dOVUJCgqsvDwAAAACAx3C5VLsqIyND8fHxxcYSEhI0cuTIUrfJz89Xfn5+4ePc3NzKigcAAACgohiGdOqUVFAg5eebt1OnJIdDcjor9r4ynvP0vWGUfDv9Hl25ubqNu69xersLXa6q5xg0SLrnHvmCSi/VWVlZioqKKjYWFRWl3Nxc/f7776pevfo526Smpmr8+PGVHQ0AAADwXk5nUXE9s8RaPXZmcQJK40NnLVd6qXZHSkqKkpOTCx/n5uYqOjrawkQAAABABTt1Sjp6VDp82LwdOlS0fObtzPEjR4ofAfZ0NpsUHCwFBEiBgZV3X9HPabOVfjv9vly5ubqNu69xersLXa6K52jZUr6i0kt1vXr1lJ2dXWwsOztboaGhJR6lliS73S673V7Z0QAAAIALd+qUWXZLK8aljeXkVGyO4GDJbi+6P/NW3rGKXreaRx7DAypUpf+/PC4uTkuXLi02tmLFCsXFxVX2SwMAAADld/Lk+Y8UlzR2ofP/hIZKdeqYt4svLlouaSw8XKpe/dzyGhxc/GgggCrjcqk+fvy4tm7dWvh4+/btyszMVJ06ddSoUSOlpKRoz549mjdvniTpgQce0Msvv6xHH31UAwcO1Keffqp3331XS5Ysqbh3AQAAAJyP0ylt2yZt3Fh027WrqBwfO3Zhzx8Wdv5SfPZYeLgUFFQhbw+ANVwu1d98841uuOGGwsenv/uclJSkuXPnat++fdq5c2fhz5s0aaIlS5Zo1KhRevHFF3XJJZfo9ddf53JaAAAAqDwnTkjff19UnjMzpe++k44fL3s7m80suuUtxWceQeZUZ8Av2QzD86fny83NVVhYmHJychQaGmp1HAAAAHgKw5D27TNL85kF+pdfzCPTZ7PbpdatpXbtpLZtpWbNzj29OjCwat8DAI9U3h7Kf04DAACAdzh5Uvrpp6LifPr+4MGS14+MNMvz6QLdtq3UvDlHlAFUKP5FAQAAgOc5cqT4keeNG6XNm83rIp8tIMAsy6fL8+n7evWqODQAf0SpBgAAgHWcTmn79uJHnjdulM6Yo6eYWrWKF+d27aRWrcwZsQHAApRqAAAAVI0TJ6RNm4oX6LImD4uJKV6g27Y1xwICqiwyAJwPpRoAAAAV6/TkYWceed64Ufr557InDztdnNu1k9q0MScNAwAPR6kGAADAhcvMlN5+W9qwwSzQBw6UvF5k5LmnbzN5GAAvxr9eAAAAcI9hSMuWSZMnS+npxX92evKwsws0k4cB8DGUagAAALgmP988Kj15sjkjt2Re2/n226WbbjILdKtWUo0a1uYEgCpAqQYAAED5HD4spaVJ06dLWVnmWM2a0uDB0ogRUuPG1uYDAAtQqgEAAFC2bdukqVOl2bPNGbwlqWFDs0gPHsyEYgD8GqUaAAAAJfv6a/MU7w8+KJq1u21b6e9/l+66SwoOtjYfAHgASjUAAACKOBzSRx+ZZfqrr4rGb77ZLNN/+Ytks1mXDwA8DKUaAAAA5mndb74pTZkibd1qjgUFSf36ScnJ0pVXWpsPADwUpRoAAMCfZWdLM2ZIr7wiHTpkjtWuLT3wgDRsmNSggbX5AMDDUaoBAAD80Y8/mkel5883L5ElSU2aSKNGSQMGmLN6AwDOi1INAADgLwxD+vxzadIkacmSovFOnczvS992m1SNPw8BwBX8qwkAAODrTp2S3nvPLNPr15tjNpt0663Sww9L11zD5GMA4CZKNQAAgK86dkx6/XVp2jRp505zLCREuuce8zTvyy+3Mh0A+ARKNQAAgK/ZvVt66SXptdek3FxzrG5dc+KxIUPMZQBAhaBUAwAA+IrMTPP60gsWmKd8S1Lz5uYp3nffLVWvbmk8APBFlGoAAABvZhjS8uVmmV65smi8Sxdz8rHu3aWAAOvyAYCPo1QDAAB4o/x86Z13zDK9aZM5Fhgo3XmneWS6Qwdr8wGAn6BUAwAAeJMjR6S0NPM701lZ5ljNmtKgQdKIEVJMjKXxAMDfUKoBAAC8wbZt5izes2dLeXnmWIMGZpG+7z4pPNzKdADgtyjVAAAAnmztWvMU7/ffl5xOc6xNG/P70r17S8HB1uYDAD9HqQYAAPBEy5dLzzwjrV5dNJaQYJbpG2+UbDbrsgEAClGqAQAAPM2LL0ojR5rLQUFS375ScrJ5hBoA4FEo1QAAAJ7CMMyj02PHmo8HDZLGjze/Ow0A8EiUagAAAE9gGNIjj5jfn5akf/zDLNec5g0AHo1SDQAAYDWHQxoyRJo1y3w8dWrR6d8AAI9GqQYAALDSyZNSYqK0YIF5VHrWLOnee61OBQAoJ0o1AACAVX7/XbrrLmnxYqlaNemf/zQfAwC8BqUaAADACseOSbfeKn32mRQSYl6Hunt3q1MBAFxEqQYAAKhqhw9L3bpJ69ZJNWuaR6q7dLE6FQDADZRqAACAqpSVJd10k7Rpk1SnjrRsmdSxo9WpAABuolQDAABUld9+k+Ljpa1bpXr1pBUrpNatrU4FALgAlGoAAICqsGWLWah375ZiYqSVK6VmzaxOBQC4QAFWBwAAAPB5mZnSddeZhbpFC+nLLynUAOAjKNUAAACVac0a6frrpQMHpKuukr74QrrkEqtTAQAqCKUaAACgsqxcaU5KlpMjXXON9OmnUt26VqcCAFQgSjUAAEBl+PBDqUcP6cQJqWtXaflyKTzc6lQAgApGqQYAAKhob70l3XGHVFAg/e1v0kcfSRddZHUqAEAloFQDAABUpFdekfr3lxwOKTFRWrhQstutTgUAqCSUagAAgIoycaI0dKi5PGyYNGeOVI0rmAKAL6NUAwAAXCjDkFJSzJskPf649NJLUgB/agGAr3PrX/oZM2YoJiZGISEhio2N1bp168pcf9q0aWrevLmqV6+u6OhojRo1Sn/88YdbgQEAADyK02kelZ440Xz83HPSM89INpu1uQAAVcLl85EWLlyo5ORkpaWlKTY2VtOmTVNCQoK2bNmiyMjIc9Z/++23NXr0aM2ePVudO3fWzz//rHvuuUc2m01TpkypkDcBAABgiVOnpIEDpfnzzRL9yivSAw9YnQoAUIVcPlI9ZcoUDR48WAMGDNAVV1yhtLQ01ahRQ7Nnzy5x/TVr1uiaa65R3759FRMTo65du6pPnz7nPboNAADg0fLzpTvvNAt1YKA54zeFGgD8jkuluqCgQOvXr1d8fHzREwQEKD4+XhkZGSVu07lzZ61fv76wRG/btk1Lly5V9+7dS32d/Px85ebmFrsBAAB4jLw8qWdP81rUdrv0wQdS375WpwIAWMCl078PHjwoh8OhqKioYuNRUVH66aefStymb9++OnjwoK699loZhqFTp07pgQce0JgxY0p9ndTUVI0fP96VaAAAAFXj6FGpRw9pzRrz2tP//rd0441WpwIAWKTSp6RctWqVJkyYoFdeeUXffvutPvjgAy1ZskRPP/10qdukpKQoJyen8LZr167KjgkAAHB++/dLN9xgFurwcGnFCgo1APg5l45UR0REKDAwUNnZ2cXGs7OzVa9evRK3efLJJ9W/f38NGjRIknTllVcqLy9P9913nx5//HEFlHCpCbvdLrvd7ko0AACAyrVrl3TTTdKWLVJkpPTJJ1LbtlanAgBYzKUj1cHBwWrfvr3S09MLx5xOp9LT0xUXF1fiNidOnDinOAcGBkqSDMNwNS8AAEDV27pVuu46s1BHR0tffkmhBgBIcuOSWsnJyUpKSlKHDh3UqVMnTZs2TXl5eRowYIAkKTExUQ0bNlRqaqokqWfPnpoyZYquuuoqxcbGauvWrXryySfVs2fPwnINAADgsb7/XuraVcrKki67TFq5UmrUyOpUAAAP4XKp7t27tw4cOKCxY8cqKytL7dq107JlywonL9u5c2exI9NPPPGEbDabnnjiCe3Zs0d169ZVz5499eyzz1bcuwAAAKgM69ZJN98sHTkitWljnvJ91oStAAD/ZjO84Bzs3NxchYWFKScnR6GhoVbHAQAA/mDVKvOyWcePS7Gx0scfS7VrW50KAFBFyttDK332bwAAAK+zeLF5hPr4cekvfzFn+aZQAwBKQKkGAAA408KF0m23Sfn55pHqJUukWrWsTgUA8FCUagAAgNNmzZL69JFOnZL69pXef18KCbE6FQDAg1GqAQAAJGnKFOm++yTDkO6/X5o3TwoKsjoVAMDDUaoBAIB/Mwxp3Djp4YfNx48+Kr36qsSlPwEA5eDyJbUAAAB8htMpJSdLL75oPn72WSklRbLZrM0FAPAalGoAAOCfHA7zdO/Zs83HL70kDR9ubSYAgNehVAMAAP9TUCDdfbe0aJEUEGAW66Qkq1MBALwQpRoAAPiXEyekO+6QPv7YnIjsnXek22+3OhUAwEtRqgEAgP/IzZX++lfpyy+l6tWlf/1LSkiwOhUAwItRqgEAgH84eFDq1k365hspNFRaskS69lqrUwEAvBylGgAA+L59+6T4eOmHH6SICGn5cunqq61OBQDwAZRqAADg25xO6f/+zyzUDRpIK1dKLVtanQoA4CMo1QAAwLdNmyZ98YV00UXSZ59Jl19udSIAgA8JsDoAAABApdm8WRozxlyeMoVCDQCocJRqAADgmwoKpP79pfx8c4KywYOtTgQA8EGUagAA4JueeUbasEGqU0d64w3JZrM6EQDAB1GqAQCA71m7VpowwVx+9VWpfn1r8wAAfBalGgAA+JYTJ6TERMnhkPr0ke66y+pEAAAfRqkGAAC+ZfRo6eefzctnvfyy1WkAAD6OUg0AAHzHypXS9Onm8uzZ5vepAQCoRJRqAADgG44elQYMMJeHDJESEiyNAwDwD5RqAADgGx56SNq9W2rWTHrhBavTAAD8BKUaAAB4v/ffl+bPlwICzPuLLrI6EQDAT1CqAQCAd8vKku6/31wePVqKi7M2DwDAr1CqAQCA9zIMafBg6dAhqW1badw4qxMBAPwMpRoAAHiv2bOlxYul4GDztO/gYKsTAQD8DKUaAAB4p+3bpZEjzeVnnpGuvNLSOAAA/0SpBgAA3sfhkJKSpOPHpWuvlZKTrU4EAPBTlGoAAOB9pk2TvvzSnOX7zTelwECrEwEA/BSlGgAAeJdNm6QxY8zlqVOlpk2tzQMA8GuUagAA4D0KCqTERPO+e3dp0CCrEwEA/BylGgAAeI+nn5Y2bJDq1JFef12y2axOBADwc5RqAADgHb7+WpowwVxOS5Pq17c2DwAAolQDAABvcOKEedq30yn17SvdeafViQAAkESpBgAA3uCxx6RffpEaNJBeftnqNAAAFKJUAwAAz7ZiRVGRnjNHql3b2jwAAJyBUg0AADzXkSPSgAHm8oMPSl27WpsHAICzUKoBAIDneughac8e6dJLpeeftzoNAADnoFQDAADP9N570ltvSQEB0vz50kUXWZ0IAIBzUKoBAIDnycqSHnjAXE5Jkf70J2vzAABQCko1AADwLIYhDR4sHToktWsnjR1rdSIAAEpFqQYAAJ5l9mxp8WIpONg87Ts42OpEAACUilINAAA8x/bt0siR5vKzz0qtW1saBwCA86FUAwAAz+BwSElJ0vHj0nXXSaNGWZ0IAIDzcqtUz5gxQzExMQoJCVFsbKzWrVtX5vpHjx7V0KFDVb9+fdntdl1++eVaunSpW4EBAICPmjZN+vJLqWZNae5cKTDQ6kQAAJxXNVc3WLhwoZKTk5WWlqbY2FhNmzZNCQkJ2rJliyIjI89Zv6CgQDfddJMiIyP13nvvqWHDhvrtt98UHh5eEfkBAIAv2LRJGjPGXJ46VWra1No8AACUk80wDMOVDWJjY9WxY0e9/PLLkiSn06no6GgNHz5co0ePPmf9tLQ0vfDCC/rpp58UFBTkVsjc3FyFhYUpJydHoaGhbj0HAADwUAUF5iWzNmyQevSQ/vMfyWazOhUAwM+Vt4e6dPp3QUGB1q9fr/j4+KInCAhQfHy8MjIyStzmo48+UlxcnIYOHaqoqCi1bt1aEyZMkMPhKPV18vPzlZubW+wGAAB81NNPm4X64oul11+nUAMAvIpLpfrgwYNyOByKiooqNh4VFaWsrKwSt9m2bZvee+89ORwOLV26VE8++aQmT56sZ555ptTXSU1NVVhYWOEtOjralZgAAMBbfP21NGGCuZyWJtWrZ20eAABcVOmzfzudTkVGRmrmzJlq3769evfurccff1xpaWmlbpOSkqKcnJzC265duyo7JgAAqGp5eVJiouR0Sv36SXfcYXUiAABc5tJEZREREQoMDFR2dnax8ezsbNUr5b8s169fX0FBQQo8YwbPli1bKisrSwUFBQoODj5nG7vdLrvd7ko0AADgbR57TPrlF6lhQ2n6dKvTAADgFpeOVAcHB6t9+/ZKT08vHHM6nUpPT1dcXFyJ21xzzTXaunWrnE5n4djPP/+s+vXrl1ioAQCAH/jkE2nGDHN5zhypdm1r8wAA4CaXT/9OTk7WrFmz9Oabb+rHH3/UkCFDlJeXpwEDBkiSEhMTlZKSUrj+kCFDdPjwYY0YMUI///yzlixZogkTJmjo0KEV9y4AAID3OHJEGjjQXB46VLrpJmvzAABwAVy+TnXv3r114MABjR07VllZWWrXrp2WLVtWOHnZzp07FRBQ1NWjo6O1fPlyjRo1Sm3atFHDhg01YsQIPfbYYxX3LgAAgPcYPlzas0e67DLpueesTgMAwAVx+TrVVuA61QAA+IhFi6S77pICAqQ1a6TYWKsTAQBQokq5TjUAAIDb9u2Thgwxl8eMoVADAHwCpRoAAFQ+w5AGD5YOHZKuukp68kmrEwEAUCEo1QAAoPK98Ya0ZIlkt0vz50tcAQQA4CMo1QAAoHJt2yaNGmUuP/us1KqVtXkAAKhAlGoAAFB5HA7pnnuk48elP/9ZGjnS6kQAAFQoSjUAAKg8U6dKX34p1awpzZ0rBQZanQgAgApFqQYAAJVj0ybp8cfN5WnTpCZNLI0DAEBloFQDAICKV1Ag9e9v3v/1r9LAgVYnAgCgUlCqAQBAxXvqKSkzU7r4YmnWLMlmszoRAACVglINAAAq1tdfS6mp5vJrr0n16lmbBwCASkSpBgAAFScvT0pMlJxO6e67pdtvtzoRAACVilINAAAqzmOPSb/8IjVsKE2fbnUaAAAqHaUaAABUjE8+kWbMMJfnzJHCwy2NAwBAVaBUAwCAC3fkSNEM38OGSTfdZG0eAACqCKUaAABcuOHDpT17pMsvl557zuo0AABUGUo1AAC4MIsWSf/8pxQYKM2fL9WoYXUiAACqDKUaAAC4b98+acgQc3nMGKlTJ2vzAABQxSjVAADAPYYhDR4sHTokXX219MQTVicCAKDKUaoBAIB73nhDWrJEstulefOk4GCrEwEAUOUo1QAAwHXbtkmjRpnLEyZIrVpZmwcAAItQqgEAgGscDikpSTp+XOrSRRo50upEAABYhlINAABcM2WKtHq1VLOmNHeuFMCfEwAA/8VvQQAAUH7ff180IdmLL0oxMZbGAQDAapRqAABQPgUFUv/+5n3PntKAAVYnAgDAcpRqAABQPuPHSxs3ShER0qxZks1mdSIAACxHqQYAAOeXkSFNnGgup6VJUVHW5gEAwENQqgEAQNny8qTERMnpNE//vv12qxMBAOAxKNUAAKBsjz4qbd0qXXKJ9NJLVqcBAMCjUKoBAEDpli+XXnnFXJ4zRwoPtzQOAACehlINAABKduSINHCguTx8uBQfb20eAAA8EKUaAACUbNgwae9e6fLLiyYpAwAAxVCqAQDAud59V3r7bSkwUJo/X6pRw+pEAAB4JEo1AAAobt8+acgQc3nMGKlTJ2vzAADgwSjVAACgiGFIgwZJhw9LV18tPfGE1YkAAPBolGoAAFDk9delpUslu12aN08KDrY6EQAAHo1SDQAATNu2SaNGmcsTJkitWlmbBwAAL0CpBgAAksMhJSVJeXlSly7SyJFWJwIAwCtQqgEAgDRlirR6tVSrljR3rhTAnwgAAJQHvzEBAPB3339fNCHZiy9KMTGWxgEAwJtQqgEA8GcFBVL//ub9LbdI99xjdSIAALwKpRoAAH82fry0caMUESHNnCnZbFYnAgDAq1CqAQDwVxkZ0sSJ5vLMmVJUlLV5AADwQpRqAAD8UV6elJgoOZ3m/W23WZ0IAACvRKkGAMAfPfqotHWrFB1tTk4GAADcQqkGAMDfLF8uvfKKuTxnjhQebmkcAAC8mVulesaMGYqJiVFISIhiY2O1bt26cm23YMEC2Ww29erVy52XBQAAF+rIEWngQHP5oYekG2+0Ng8AAF7O5VK9cOFCJScna9y4cfr222/Vtm1bJSQkaP/+/WVut2PHDv3973/Xdddd53ZYAABwgYYOlfbulZo3l1JTrU4DAIDXc7lUT5kyRYMHD9aAAQN0xRVXKC0tTTVq1NDs2bNL3cbhcKhfv34aP368mjZtekGBAQCAmxYulN55RwoMlObNk2rUsDoRAABez6VSXVBQoPXr1ys+Pr7oCQICFB8fr4yMjFK3e+qppxQZGal77723XK+Tn5+v3NzcYjcAAHAB9u6VHnzQXH78calTJ2vzAADgI1wq1QcPHpTD4VDUWdexjIqKUlZWVonbrF69Wm+88YZmzZpV7tdJTU1VWFhY4S06OtqVmAAA4EyGIQ0aJB0+LF19tfTEE1YnAgDAZ1Tq7N/Hjh1T//79NWvWLEVERJR7u5SUFOXk5BTedu3aVYkpAQDwcbNmSR9/LNnt0vz5UlCQ1YkAAPAZ1VxZOSIiQoGBgcrOzi42np2drXr16p2z/q+//qodO3aoZ8+ehWNOp9N84WrVtGXLFjVr1uyc7ex2u+x2uyvRAABASX79VUpONpdTU6UrrrA2DwAAPsalI9XBwcFq37690tPTC8ecTqfS09MVFxd3zvotWrTQ999/r8zMzMLbLbfcohtuuEGZmZmc1g0AQGVyOKSkJCkvT+rSRRoxwupEAAD4HJeOVEtScnKykpKS1KFDB3Xq1EnTpk1TXl6eBgwYIElKTExUw4YNlZqaqpCQELVu3brY9uHh4ZJ0zjgAAKhgkydLX30l1aolzZ0rBVTqt74AAPBLLpfq3r1768CBAxo7dqyysrLUrl07LVu2rHDysp07dyqAX9oAAFjru++kJ580l198UYqJsTQOAAC+ymYYhmF1iPPJzc1VWFiYcnJyFBoaanUcAAA8W36+ecms776TbrlF+vBDyWazOhUAAF6lvD2UQ8oAAPia8ePNQh0RIc2cSaEGAKASUaoBAPAla9ZIzz1nLs+cKf3v61kAAKByUKoBAPAVx49LiYmS02ne33ab1YkAAPB5lGoAAHzFo4+a16WOjjYnJwMAAJWOUg0AgC9Yvlx69VVzec4c6X+XsAQAAJWLUg0AgLc7fFgaONBcfugh6cYbrc0DAIAfoVQDAODthg2T9u6VWrSQJk60Og0AAH6FUg0AgDdbuFB65x0pMFCaN0+qXt3qRAAA+BVKNQAA3mrvXunBB83lJ56QOna0Ng8AAH6IUg0AgDcyDGnQIPP71O3bS48/bnUiAAD8EqUaAABvNGuW9PHHkt0uzZ8vBQVZnQgAAL9EqQYAwNv8+quUnGwuT5wotWxpbR4AAPwYpRoAAG/icEhJSVJennT99eYltAAAgGUo1QAAeJPJk6WvvpJq1ZLmzpUC+FUOAICV+E0MAIC3+O476cknzeWXXpIaN7Y2DwAAoFQDAOAV8vOl/v2lggLp1lvNU8ABAIDlKNUAAHiD8ePNI9V160ozZ0o2m9WJAACAKNUAAHi+NWuk554zl197TYqMtDYPAAAoRKkGAMCTHT8uJSZKTqd5yvdtt1mdCAAAnIFSDQCAJ3vkEfO61NHR0osvWp0GAACchVINAICn+vhjKS3NXJ47VwoLszQOAAA4F6UaAABPdPiwdO+95vKIEdJf/mJtHgAAUCJKNQAAnmjoUGnfPqlFCyk11eo0AACgFJRqAAA8zYIF5i0wUJo3T6pe3epEAACgFJRqAAA8yd690oMPmstPPCF17GhtHgAAUCZKNQAAnsIwzO9RHzkitW8vPf641YkAAMB5UKoBAPAUM2dKy5ZJdrs0f74UFGR1IgAAcB6UagAAPMHWrVJysrk8caLUsqW1eQAAQLlQqgEAsJrDISUlSSdOSNdfLz30kNWJAABAOVGqAQCwkmFIf/+7tGaNVKuWNHeuFMCvZwAAvEU1qwMAAOC3HA5zpu+ZM83Hr74qNW5sbSYAAOASSjUAAFY4edI85fudd8wj07NmSf36WZ0KAAC4iFINAEBV+/136a67pMWLzRm+//lP6c47rU4FAADcQKkGAKAqHTsm3Xqr9NlnUkiI9MEHUrduVqcCAABuolQDAFBVDh+WuneX1q41JyVbvFj685+tTgUAAC4ApRoAgKqQlSV17Sp9/71Up460fLnUoYPVqQAAwAWiVAMAUNl++02Kj5e2bpXq15dWrJBatbI6FQAAqABcCBMAgMq0ZYt03XVmoY6Jkb78kkINAIAPoVQDAFBZMjPNQr1rl9SypbR6tdSsmdWpAABABaJUAwBQGTIypOuvlw4ckK66Svr8c6lhQ6tTAQCACkapBgCgoq1cKd10k5STI117rXn5rLp1rU4FAAAqAaUaAICK9O9/Sz16SHl5UkKCOct3WJjVqQAAQCWhVAMAUFHeeku6/XapoMC8//e/pRo1rE4FAAAqEaUaAICK8OqrUmKi5HBISUnSggWS3W51KgAAUMko1QAAXKiJE6UHH5QMQxo+XJo9W6pWzepUAACgClCqAQBwl2FIY8ZIKSnm48cfl158UQrg1ysAAP7Crd/6M2bMUExMjEJCQhQbG6t169aVuu6sWbN03XXXqXbt2qpdu7bi4+PLXB8AAK/gdJpHpVNTzcfPPy8984xks1mbCwAAVCmXS/XChQuVnJyscePG6dtvv1Xbtm2VkJCg/fv3l7j+qlWr1KdPH3322WfKyMhQdHS0unbtqj179lxweAAALHHqlHTPPdKMGWaJTkuTHnnE6lQAAMACNsMwDFc2iI2NVceOHfXyyy9LkpxOp6KjozV8+HCNHj36vNs7HA7Vrl1bL7/8shITE0tcJz8/X/n5+YWPc3NzFR0drZycHIWGhroSFwCAipWfL/XpI/3rX1JgoDRvntS3r9WpAABABcvNzVVYWNh5e6hLR6oLCgq0fv16xcfHFz1BQIDi4+OVkZFRruc4ceKETp48qTp16pS6TmpqqsLCwgpv0dHRrsQEAKBy5OVJPXuahdpulz74gEINAICfc6lUHzx4UA6HQ1FRUcXGo6KilJWVVa7neOyxx9SgQYNixfxsKSkpysnJKbzt2rXLlZgAAFS8o0elrl2lFSukiy6SliyRbrnF6lQAAMBiVXq9j4kTJ2rBggVatWqVQkJCSl3PbrfLzrU9AQCeYv9+KSFBysyUwsOljz+W/vQnq1MBAAAP4FKpjoiIUGBgoLKzs4uNZ2dnq169emVuO2nSJE2cOFErV65UmzZtXE8KAIAVdu+W4uOlLVukyEjzSDW/xwAAwP+4dPp3cHCw2rdvr/T09MIxp9Op9PR0xcXFlbrd888/r6efflrLli1Thw4d3E8LAEBV2rpVuvZas1BHR0tffkmhBgAAxbh8+ndycrKSkpLUoUMHderUSdOmTVNeXp4GDBggSUpMTFTDhg2V+r/rdj733HMaO3as3n77bcXExBR+97pmzZqqWbNmBb4VAAAq0KZN0k03SVlZ0mWXSStXSo0aWZ0KAAB4GJdLde/evXXgwAGNHTtWWVlZateunZYtW1Y4ednOnTsVEFB0APzVV19VQUGB7rjjjmLPM27cOP3jH/+4sPQAAFSGdeukbt2kw4fNI9OffCKdNUknAACA5MZ1qq1Q3uuDAQBwwVatMi+bdfy4ORnZ0qVS7dpWpwIAAFWsUq5TDQCAT1uyxDxCffy49Je/mJOSUagBAEAZKNUAAEjSwoVSr17SH3+YR6qXLJGY+wMAAJwHpRoAgFmzpD59pFOnpL59pfffl0JCrE4FAAC8AKUaAODfpkyR7rtPMgzp/vul+fOloCCrUwEAAC9BqQYA+CfDkMaNkx5+2Hz86KPSq69KAfxqBAAA5efyJbUAAPB6TqeUnCy9+KL5+NlnpZQUyWazNhcAAPA6lGoAgH9xOMzTvWfPNh9Pny4NG2ZtJgAA4LUo1QAA/1FQIN19t7RokXma9+zZUlKS1akAAIAXo1QDAPzDiRPSHXdIH39sTkT2zjvS7bdbnQoAAHg5SjUAwPfl5kp//av05ZdS9erSv/4lJSRYnQoAAPgASjUAwLcdPCh16yZ9840UGiotWSJde63VqQAAgI+gVAMAfNfevdJNN0k//CBFREjLl0tXX211KgAA4EMo1QAA37R9uxQfL23bJjVoIK1cKbVsaXUqAADgYwKsDgAAQIX74QfzFO9t26SmTaXVqynUAACgUlCqAQC+Y9s26aGHpI4dzVO/r7jCnJysSROrkwEAAB/F6d8AAO+3dq00aZL0wQeS02mOXXutOct3RIS12QAAgE/jSDUAwDs5HNKHH5rl+U9/kt57zyzUN99sfn/6iy8o1AAAoNJxpBoA4F1OnJDefFOaMkXautUcCwqS7r5bSk6WWre2Nh8AAPArlGoAgHfIzpZmzJBeeUU6dMgcq11bGjJEGjZMql/f2nwAAMAvUaoBAJ7tp5/Mo9Lz5kn5+eZYkybSqFHSgAFSzZrW5gMAAH6NUg0A8DyGYX4netIkafHiovHYWOnvf5duu00KDLQuHwAAwP9QqgEAnuPUKXPCsUmTpPXrzTGbTbr1VrNMd+5sPgYAAPAQlGoAgPWOHZNef12aNk3audMcCwkxT+8eNUq67DJL4wEAAJSGUg0AsM7u3dJLL0kzZ0o5OeZY3brmxGNDhpjLAAAAHoxSDQCoehs3SpMnS++8Y57yLUktWpiXxLr7bql6dWvzAQAAlBOlGgBQNQxD+uQT8/vSK1cWjXfpYn5funt3KSDAunwAAABuoFQDACpXfr55RHryZGnTJnMsMFC6807p4YelDh2szQcAAHABKNUAgMpx5IiUliZNny7t22eO1awpDR4sjRghNW5sbT4AAIAKQKkGAFSsbdvMWbxnz5by8syxhg2lhx6S7rtPCg+3Mh0AAECFolQDACrG2rXmKd7vvy85neZY27bmKd69e0vBwdbmAwAAqASUagCA+5xO6T//MScfW726aDwhwZx87MYbJZvNunwAAACVjFINAHDdiRPSvHnSlCnSL7+YY0FBUr9+5mWxrrzS2nwAAABVhFINACi//fulGTOkV16RDh40x8LDpSFDpGHDpAYNLI0HAABQ1SjVAIDz27LFPCr95pvmJbIkKSZGGjVKGjjQnNUbAADAD1GqAQBFDEPavl3auNG8ZWaa9zt2FK3TqZP5fenbbpOq8WsEAAD4N/4aAgB/9fvv0ubNRcU5M1P67jspN/fcdW026ZZbzDJ9zTVMPgYAAPA/lGoA8AdZWcWPPGdmmqd0n7701ZmCg6VWrczLYbVtK7VrZ97Xrl3FoQEAADwfpRoAfMmpU2ZZPrNAb9woZWeXvH5ERFFpPl2gW7QwZ/IGAADAeVGqAcBb5eQUlebTJXrTpqKJxM5ks0mXX178yHO7dlL9+pzKDQAAcAEo1QDg6QzDnCjs7NO3z5w87Ew1a0pt2hQv0K1bSxddVGWRAQAA/AWlGgA8yenJw84+fbukycMkKTq6+JHntm2lpk2lgIAqDA0AAOC/KNUAYJXs7OJHnjduNL8P7XCcu25QkDl52JkFuk0bqU6dqs0MAACAYijVAFARDEPKy5MOHZIOHy5+O3vs0CHpl1/KnjzszCPPbduak4cFB1fpWwIAAMD5UaoB4EyGIR07dv5iXNLYyZOuvVZJk4e1bSs1aMDkYQAAAF6CUg3ANxmG+T1kV0rx6dupU+6/bnCwdPHF5mnZp29nP65TR2rUiMnDAAAAfIBbpXrGjBl64YUXlJWVpbZt22r69Onq1KlTqesvWrRITz75pHbs2KHLLrtMzz33nLp37+52aABexjDMopqfX3QrKCj7sStjf/whHTlSvCwfOVLyd5PLy24vXoZLKsYljdWowVFmAAAAP+JyqV64cKGSk5OVlpam2NhYTZs2TQkJCdqyZYsiIyPPWX/NmjXq06ePUlNT9de//lVvv/22evXqpW+//VatW7eukDcBeCTDKLo5nWbBO999edap6PuSxk6erNjSW1Bg/u9gherVSy/AZZXl6tWtyQsAAACvYjMM1/7SjY2NVceOHfXyyy9LkpxOp6KjozV8+HCNHj36nPV79+6tvLw8LV68uHDsT3/6k9q1a6e0tLQSXyM/P1/5+fmFj3NzcxUdHa2cnByFhoa6ErfqnDghde1a+s/P9z9zWT+vqm29YfnM+wu9VcTzlPYcKFtAgHkkODjYvD/z5s5YSIhUu/a5Rbl2bcoxAAAA3JKbm6uwsLDz9lCXjlQXFBRo/fr1SklJKRwLCAhQfHy8MjIyStwmIyNDycnJxcYSEhL04Ycflvo6qampGj9+vCvRrOd0Sl99ZXUKeKuAAPMWGHjufUljlX1frVr5iq27Jbga0zkAAADAN7j0l+3BgwflcDgUFRVVbDwqKko//fRTidtkZWWVuH5WVlapr5OSklKsiJ8+Uu3RQkKkDz4oe53zfc+yrJ9X1bbesHzmfXlvrq5f0duUVWDP3BYAAACAV/HIw0V2u112u93qGK6pVk267TarUwAAAAAAqlCAKytHREQoMDBQ2dnZxcazs7NVr169ErepV6+eS+sDAAAAAOAtXCrVwcHBat++vdLT0wvHnE6n0tPTFRcXV+I2cXFxxdaXpBUrVpS6PgAAAAAA3sLl07+Tk5OVlJSkDh06qFOnTpo2bZry8vI0YMAASVJiYqIaNmyo1NRUSdKIESPUpUsXTZ48WT169NCCBQv0zTffaObMmRX7TgAAAAAAqGIul+revXvrwIEDGjt2rLKystSuXTstW7ascDKynTt3KiCg6AB4586d9fbbb+uJJ57QmDFjdNlll+nDDz/kGtUAAAAAAK/n8nWqrVDe64MBAAAAAFARyttDXfpONQAAAAAAKEKpBgAAAADATZRqAAAAAADcRKkGAAAAAMBNlGoAAAAAANzk8iW1rHB6gvLc3FyLkwAAAAAA/MHp/nm+C2Z5Rak+duyYJCk6OtriJAAAAAAAf3Ls2DGFhYWV+nOvuE610+nU3r17VatWLdlsNqvjlCo3N1fR0dHatWsX19P2Mnx23ovPzrvx+XkvPjvvxWfnvfjsvBufn/cxDEPHjh1TgwYNFBBQ+jenveJIdUBAgC655BKrY5RbaGgoO4qX4rPzXnx23o3Pz3vx2XkvPjvvxWfn3fj8vEtZR6hPY6IyAAAAAADcRKkGAAAAAMBNlOoKZLfbNW7cONntdqujwEV8dt6Lz8678fl5Lz4778Vn57347Lwbn5/v8oqJygAAAAAA8EQcqQYAAAAAwE2UagAAAAAA3ESpBgAAAADATZRqAAAAAADcRKkGAAAAAMBNlGoXPPvss+rcubNq1Kih8PDwEtfZuXOnevTooRo1aigyMlKPPPKITp06VebzHj58WP369VNoaKjCw8N177336vjx45XwDnDaqlWrZLPZSrz997//LXW766+//pz1H3jggSpMDkmKiYk553OYOHFimdv88ccfGjp0qC6++GLVrFlTt99+u7Kzs6soMSRpx44duvfee9WkSRNVr15dzZo107hx41RQUFDmdux31pkxY4ZiYmIUEhKi2NhYrVu3rsz1Fy1apBYtWigkJERXXnmlli5dWkVJcVpqaqo6duyoWrVqKTIyUr169dKWLVvK3Gbu3Lnn7GMhISFVlBhn+sc//nHOZ9GiRYsyt2G/8wwl/W1is9k0dOjQEtdnv/MtlGoXFBQU6M4779SQIUNK/LnD4VCPHj1UUFCgNWvW6M0339TcuXM1duzYMp+3X79+2rx5s1asWKHFixfriy++0H333VcZbwH/07lzZ+3bt6/YbdCgQWrSpIk6dOhQ5raDBw8utt3zzz9fRalxpqeeeqrY5zB8+PAy1x81apT+85//aNGiRfr888+1d+9e/e1vf6uitJCkn376SU6nU6+99po2b96sqVOnKi0tTWPGjDnvtux3VW/hwoVKTk7WuHHj9O2336pt27ZKSEjQ/v37S1x/zZo16tOnj+69915t2LBBvXr1Uq9evbRp06YqTu7fPv/8cw0dOlRff/21VqxYoZMnT6pr167Ky8src7vQ0NBi+9hvv/1WRYlxtlatWhX7LFavXl3quux3nuO///1vsc9txYoVkqQ777yz1G3Y73yIAZfNmTPHCAsLO2d86dKlRkBAgJGVlVU49uqrrxqhoaFGfn5+ic/1ww8/GJKM//73v4VjH3/8sWGz2Yw9e/ZUeHaUrKCgwKhbt67x1FNPlblely5djBEjRlRNKJSqcePGxtSpU8u9/tGjR42goCBj0aJFhWM//vijIcnIyMiohIQor+eff95o0qRJmeuw31mjU6dOxtChQwsfOxwOo0GDBkZqamqJ6991111Gjx49io3FxsYa999/f6XmRNn2799vSDI+//zzUtcp7e8aVL1x48YZbdu2Lff67Heea8SIEUazZs0Mp9NZ4s/Z73wLR6orUEZGhq688kpFRUUVjiUkJCg3N1ebN28udZvw8PBiR0fj4+MVEBCgtWvXVnpmmD766CMdOnRIAwYMOO+6//znPxUREaHWrVsrJSVFJ06cqIKEONvEiRN18cUX66qrrtILL7xQ5tcs1q9fr5MnTyo+Pr5wrEWLFmrUqJEyMjKqIi5KkZOTozp16px3Pfa7qlVQUKD169cX22cCAgIUHx9f6j6TkZFRbH3J/B3IPmatnJwcSTrvfnb8+HE1btxY0dHRuvXWW0v9uwWV75dfflGDBg3UtGlT9evXTzt37ix1XfY7z1RQUKC33npLAwcOlM1mK3U99jvfUc3qAL4kKyurWKGWVPg4Kyur1G0iIyOLjVWrVk116tQpdRtUvDfeeEMJCQm65JJLylyvb9++aty4sRo0aKDvvvtOjz32mLZs2aIPPvigipJCkh566CFdffXVqlOnjtasWaOUlBTt27dPU6ZMKXH9rKwsBQcHnzMXQlRUFPuZhbZu3arp06dr0qRJZa7Hflf1Dh48KIfDUeLvtJ9++qnEbUr7Hcg+Zh2n06mRI0fqmmuuUevWrUtdr3nz5po9e7batGmjnJwcTZo0SZ07d9bmzZvP+3sRFSs2NlZz585V8+bNtW/fPo0fP17XXXedNm3apFq1ap2zPvudZ/rwww919OhR3XPPPaWuw37nW/y+VI8ePVrPPfdcmev8+OOP550kAp7Bnc9z9+7dWr58ud59993zPv+Z33W/8sorVb9+fd1444369ddf1axZM/eDw6XPLjk5uXCsTZs2Cg4O1v3336/U1FTZ7fbKjoqzuLPf7dmzRzfffLPuvPNODR48uMxt2e8A9wwdOlSbNm0q8zu5khQXF6e4uLjCx507d1bLli312muv6emnn67smDhDt27dCpfbtGmj2NhYNW7cWO+++67uvfdeC5PBFW+88Ya6deumBg0alLoO+51v8ftS/fDDD5f5X5EkqWnTpuV6rnr16p0zM+rp2YXr1atX6jZnT/py6tQpHT58uNRtUDp3Ps85c+bo4osv1i233OLy68XGxkoyj7jxx/2FuZB9MTY2VqdOndKOHTvUvHnzc35er149FRQU6OjRo8WOVmdnZ7OfVQBXP7u9e/fqhhtuUOfOnTVz5kyXX4/9rvJFREQoMDDwnBnyy9pn6tWr59L6qFzDhg0rnPzU1aNeQUFBuuqqq7R169ZKSofyCg8P1+WXX17qZ8F+53l+++03rVy50uWzqdjvvJvfl+q6deuqbt26FfJccXFxevbZZ7V///7CU7pXrFih0NBQXXHFFaVuc/ToUa1fv17t27eXJH366adyOp2Ffzii/Fz9PA3D0Jw5c5SYmKigoCCXXy8zM1OSVL9+fZe3RXEXsi9mZmYqICDgnK9SnNa+fXsFBQUpPT1dt99+uyRpy5Yt2rlzZ7H/Sgz3uPLZ7dmzRzfccIPat2+vOXPmKCDA9ak92O8qX3BwsNq3b6/09HT16tVLknkqcXp6uoYNG1biNnFxcUpPT9fIkSMLx1asWME+VsUMw9Dw4cP1r3/9S6tWrVKTJk1cfg6Hw6Hvv/9e3bt3r4SEcMXx48f166+/qn///iX+nP3O88yZM0eRkZHq0aOHS9ux33k5q2dK8ya//fabsWHDBmP8+PFGzZo1jQ0bNhgbNmwwjh07ZhiGYZw6dcpo3bq10bVrVyMzM9NYtmyZUbduXSMlJaXwOdauXWs0b97c2L17d+HYzTffbFx11VXG2rVrjdWrVxuXXXaZ0adPnyp/f/5o5cqVhiTjxx9/POdnu3fvNpo3b26sXbvWMAzD2Lp1q/HUU08Z33zzjbF9+3bj3//+t9G0aVPjz3/+c1XH9mtr1qwxpk6damRmZhq//vqr8dZbbxl169Y1EhMTC9c5+7MzDMN44IEHjEaNGhmffvqp8c033xhxcXFGXFycFW/Bb+3evdu49NJLjRtvvNHYvXu3sW/fvsLbmeuw33mGBQsWGHa73Zg7d67xww8/GPfdd58RHh5eeIWL/v37G6NHjy5c/6uvvjKqVatmTJo0yfjxxx+NcePGGUFBQcb3339v1VvwS0OGDDHCwsKMVatWFdvHTpw4UbjO2Z/d+PHjjeXLlxu//vqrsX79euP//u//jJCQEGPz5s1WvAW/9vDDDxurVq0ytm/fbnz11VdGfHy8ERERYezfv98wDPY7T+dwOIxGjRoZjz322Dk/Y7/zbZRqFyQlJRmSzrl99tlnhevs2LHD6Natm1G9enUjIiLCePjhh42TJ08W/vyzzz4zJBnbt28vHDt06JDRp08fo2bNmkZoaKgxYMCAwqKOytWnTx+jc+fOJf5s+/btxT7fnTt3Gn/+85+NOnXqGHa73bj00kuNRx55xMjJyanCxFi/fr0RGxtrhIWFGSEhIUbLli2NCRMmGH/88UfhOmd/doZhGL///rvx4IMPGrVr1zZq1Khh3HbbbcXKHCrfnDlzSvw39Mz/vst+51mmT59uNGrUyAgODjY6depkfP3114U/69Kli5GUlFRs/Xfffde4/PLLjeDgYKNVq1bGkiVLqjgxStvH5syZU7jO2Z/dyJEjCz/nqKgoo3v37sa3335b9eFh9O7d26hfv74RHBxsNGzY0Ojdu7exdevWwp+z33m25cuXG5KMLVu2nPMz9jvfZjMMw6jCA+MAAAAAAPgMrlMNAAAAAICbKNUAAAAAALiJUg0AAAAAgJso1QAAAAAAuIlSDQAAAACAmyjVAAAAAAC4iVINAAAAAICbKNUAAAAAALiJUg0AAAAAgJso1QAAAAAAuIlSDQAAAACAm/4f2EDSlSPSFKcAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nums = np.arange(-10, 10, step=1)\n",
    "fig, ax = plt.subplots(figsize=(12, 4))\n",
    "ax.plot(nums, sigmoid(nums), c='r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ea021de5-2e40-4d52-85f8-03ebf204b627",
   "metadata": {},
   "source": [
    "* $g:\\mathbb{R} \\to [0,1]$\n",
    "* $g(0)=0.5$\n",
    "* $g(- \\infty)=0$\n",
    "* $g(+ \\infty)=1$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e2e429b7-6bc8-49b9-bd7f-2c166e5219ac",
   "metadata": {},
   "source": [
    "### `model`定义模型"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1123528e-97e8-48ac-a976-81218c49383b",
   "metadata": {},
   "source": [
    "$$\n",
    "\\begin{array}{ccc}\n",
    "\\begin{pmatrix}\\theta_{0} & \\theta_{1} & \\theta_{2}\\end{pmatrix} & \\times & \\begin{pmatrix}1\\\\\n",
    "x_{1}\\\\\n",
    "x_{2}\n",
    "\\end{pmatrix}\\end{array}=\\theta_{0}+\\theta_{1}x_{1}+\\theta_{2}x_{2}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "b484bc72-b052-4a69-a87b-b5d2ca74d185",
   "metadata": {},
   "outputs": [],
   "source": [
    "def model(X, theta):\n",
    "    # 计算线性组合\n",
    "    z = np.dot(X, theta.T)\n",
    "    # 计算sigmoid函数\n",
    "    return sigmoid(z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "e871764a-c4e7-45ff-a3eb-872dda6ec125",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 在数据中插入一列全为1的列，用于计算截距项\n",
    "pdData.insert(0, 'Ones', 1)\n",
    "\n",
    "# 设置训练数据X和目标变量y\n",
    "# 较新版本的pandas库中，as_matrix()方法已经被移除。\n",
    "# orig_data = pdData.as_matrix()\n",
    "orig_data = pdData.values  # 将Pandas表示的数据转换为数组，以便进行进一步计算\n",
    "cols = orig_data.shape[1]\n",
    "X = orig_data[:, 0:cols-1]\n",
    "y = orig_data[:, cols-1:cols]\n",
    "\n",
    "theta = np.zeros(shape=(1, 3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "42a46b34-8dcd-472c-b28d-505b3604b0a7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1.        , 34.62365962, 78.02469282],\n",
       "       [ 1.        , 30.28671077, 43.89499752],\n",
       "       [ 1.        , 35.84740877, 72.90219803],\n",
       "       [ 1.        , 60.18259939, 86.3085521 ],\n",
       "       [ 1.        , 79.03273605, 75.34437644]])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 查看前 5 个\n",
    "X[:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "d9c327e6-ca3f-41fb-8a5c-690c02a73f3e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.],\n",
       "       [0.],\n",
       "       [0.],\n",
       "       [1.],\n",
       "       [1.]])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 查看前 5 个\n",
    "y[:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "555874c2-a5b5-441b-ba0a-a5d26c4f9bc6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0., 0., 0.]])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "theta"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "bb71abda-bf0d-41d1-a75d-b8d5f1b846ab",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 3)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(100, 1)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(1, 3)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(X.shape, y.shape, theta.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cd0b076d-e344-421d-b0db-a2746928339a",
   "metadata": {},
   "source": [
    "### `cost`损失函数"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3c3a9bf7-e1ec-45d0-9fca-e9140750a168",
   "metadata": {},
   "source": [
    "将对数似然函数去负号\n",
    "$$\n",
    "D(h_{\\theta}(x), y) = -ylog(h_{\\theta}(x))-(1-y)log(1-h_{\\theta}(x))\n",
    "$$\n",
    "求平均损失\n",
    "$$\n",
    "J(\\theta) = \\frac{1}{n} \\sum_{i=1}^{n}D(h_{\\theta}(x_i),y_i)\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "584bc8d3-406f-400a-84fe-7398b471ddd5",
   "metadata": {},
   "outputs": [],
   "source": [
    "def cost(X, y, theta):\n",
    "    # 计算预测值\n",
    "    h = model(X, theta)\n",
    "    # 计算损失函数左侧部分\n",
    "    left = np.multiply(-y, np.log(h))   # $-ylog(h_{\\theta}(x))$\n",
    "    # 计算损失函数右侧部分\n",
    "    right = np.multiply(1 - y, np.log(1 - h))   # $(1-y)log(1-h_{\\theta}(x))$\n",
    "    # 计算损失函数的值\n",
    "    return np.sum(left - right) / len(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "66a7ab1c-d193-4eb2-8775-33438e655ef8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.6931471805599453"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cost(X, y, theta)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0b11a938-e32f-453b-8c7d-742730c7c99e",
   "metadata": {},
   "source": [
    "### `gradient`计算梯度"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "788cf8aa-be3a-4398-a6a5-f48b69f2f50c",
   "metadata": {},
   "source": [
    "$$\n",
    "\\frac{\\partial J}{\\partial \\theta_j}=-\\frac{1}{m}\\sum_{i=1}^n (y_i - h_\\theta (x_i))x_{ij}\n",
    "$$\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "17bd7f0a-2986-4780-ad41-04084f497f63",
   "metadata": {},
   "outputs": [],
   "source": [
    "def gradient(X, y, theta):\n",
    "    # 初始化梯度矩阵，形状与theta相同\n",
    "    grad = np.zeros(theta.shape)\n",
    "    \n",
    "    # 计算模型预测值与实际值之间的误差，并将误差转换为一维数组\n",
    "    error = (model(X, theta) - y).ravel()\n",
    "    \n",
    "    # 遍历theta的每个元素\n",
    "    for j in range(len(theta.ravel())):\n",
    "        # 计算误差与对应特征值的乘积\n",
    "        term = np.multiply(error, X[:, j])\n",
    "        \n",
    "        # 计算梯度并存储在grad矩阵中\n",
    "        grad[0, j] = np.sum(term) / len(X)\n",
    "\n",
    "    # 返回梯度矩阵\n",
    "    return grad\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "637acf3e-0ce6-4f50-9f3d-88dae1c3b387",
   "metadata": {},
   "source": [
    "### Gradient descent"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2773e8da-779a-4209-9b19-f31e41bbdb25",
   "metadata": {},
   "source": [
    "比较3中不同梯度下降方法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "fca32661-528e-4a7c-bc78-c41ebb55d089",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义停止迭代的条件常量\n",
    "STOP_ITER = 0  # 当迭代次数超过阈值时停止\n",
    "STOP_COST = 1  # 当连续两次成本函数的差值小于阈值时停止\n",
    "STOP_GRAD = 2  # 当梯度的范数小于阈值时停止\n",
    "\n",
    "\n",
    "def stop_criterion(stop_type, value, threshold):\n",
    "    \"\"\"\n",
    "    判断是否满足停止条件的函数。\n",
    "    \n",
    "    参数:\n",
    "    - stop_type: int, 停止类型的标识符，可取值为 STOP_ITER、STOP_COST、STOP_GRAD。\n",
    "    - value: 可以是整数（迭代次数）或列表/数组（用于计算成本差或梯度范数）。\n",
    "    - threshold: float, 停止条件的阈值。\n",
    "    \n",
    "    返回:\n",
    "    - bool, 如果满足相应的停止条件则返回True，否则返回False。\n",
    "    \n",
    "    逻辑说明:\n",
    "    1. 如果stop_type为STOP_ITER，检查迭代次数value是否大于threshold。\n",
    "    2. 如果stop_type为STOP_COST，检查value中最后两个元素的成本差的绝对值是否小于threshold。\n",
    "    3. 如果stop_type为STOP_GRAD，计算value（梯度向量）的范数，并检查是否小于threshold。\n",
    "    \"\"\"\n",
    "    if stop_type == STOP_ITER:\n",
    "        # 判断迭代次数是否超过阈值\n",
    "        return value > threshold\n",
    "        \n",
    "    elif stop_type == STOP_COST:\n",
    "        # 计算并判断成本函数差值是否小于阈值，确保value至少有两个元素\n",
    "        return abs(value[-1] - value[-2]) < threshold\n",
    "        \n",
    "    elif stop_type == STOP_GRAD:\n",
    "        # 计算梯度范数并判断是否小于阈值\n",
    "        return np.linalg.norm(value) < threshold"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "1390e2e8-7e6d-478e-a768-778fc0e1251a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义一个函数shuffle_data，用于打乱数据集的顺序\n",
    "def shuffle_data(data):\n",
    "    np.random.shuffle(data)  # 打乱数据集顺序\n",
    "    cols = data.shape[1]  # 获取数据集的列数\n",
    "    X = data[:, 0:cols - 1]  # 提取特征矩阵X\n",
    "    y = data[:, cols-1:]  # 提取目标向量y\n",
    "    return X, y  # 返回特征矩阵X和目标向量y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "50dccccc-e0e4-4e6d-accf-cf0af6d9b7ab",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义一个函数descent，用于执行梯度下降算法\n",
    "def descent(data, theta, batch_size, stop_type, threshold, alpha):\n",
    "    init_time = time.time()  # 记录开始时间\n",
    "    i = 0  # 初始化迭代次数\n",
    "    k = 0  # 初始化批次索引\n",
    "    X, y = shuffle_data(data)  # 打乱数据集顺序并获取特征矩阵X和目标向量y\n",
    "    grad = np.zeros(theta.shape)  # 初始化梯度向量\n",
    "    costs = [cost(X, y, theta)]  # 计算初始损失值并存储在列表中\n",
    "\n",
    "    while True:\n",
    "        grad = gradient(X[k: k + batch_size], y[k: k + batch_size], theta)  # 计算梯度\n",
    "        k += batch_size  # 更新批次索引\n",
    "        if k >= data.shape[0]:  # 如果批次索引超过数据集大小，则重新打乱数据集顺序并重置批次索引\n",
    "            k = 0\n",
    "            X, y = shuffle_data(data)\n",
    "        theta = theta - alpha * grad  # 更新参数向量\n",
    "        costs.append(cost(X, y, theta))  # 计算新的损失值并存储在列表中\n",
    "        i += 1  # 更新迭代次数\n",
    "        if stop_type == STOP_ITER:  # 根据停止类型设置停止条件\n",
    "            value = i\n",
    "        elif stop_type == STOP_COST:\n",
    "            value = costs\n",
    "        elif stop_type == STOP_GRAD:\n",
    "            value = grad\n",
    "\n",
    "        if stop_criterion(stop_type, value, threshold):  # 判断是否满足停止条件\n",
    "            break\n",
    "\n",
    "    return theta, i - 1, costs, grad, time.time() - init_time  # 返回参数向量、迭代次数、损失值列表、梯度向量和耗时"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "4ab44dd7-1196-4fe4-9b84-8ee5e2d04f49",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义一个函数run_expe，用于运行实验并输出结果\n",
    "def run_expe(data, theta, batch_size, stop_type, threshold, alpha):\n",
    "    theta, max_iter, costs, grad, during_time = descent(data, theta, batch_size, stop_type, threshold, alpha)  # 执行梯度下降算法\n",
    "    name = \"Original\" if (data[:, 1] > 2).sum() > 1 else \"Scaled\"  # 根据数据情况设置名称前缀\n",
    "    name += \" data - learning rate: {} -\".format(alpha)  # 添加学习率信息\n",
    "    \n",
    "    if batch_size == data.shape[0]:  # 根据批次大小设置名称后缀\n",
    "        str_desc_type = \"Gradient\"\n",
    "    elif batch_size == 1:\n",
    "        str_desc_type = \"Stochastic\"\n",
    "    else:\n",
    "        str_desc_type = \"Mini-batch ({})\".format(batch_size)\n",
    "\n",
    "    name += str_desc_type + \" descent - Stop: \"  # 添加名称后缀\n",
    "\n",
    "    if stop_type == STOP_ITER:  # 根据停止类型设置停止条件描述\n",
    "        str_stop = \"{} iterations\".format(threshold)\n",
    "    elif stop_type == STOP_COST:\n",
    "        str_stop = \"costs change < {}\".format(threshold)\n",
    "    else:\n",
    "        str_stop = \"gradient norm < {}\".format(threshold)\n",
    "\n",
    "    name += str_stop  # 添加停止条件描述\n",
    "    print (\"***{}\\nTheta: {} - Iter: {} - Last cost: {:03.2f} - Duration: {:03.2f}s\".format(\n",
    "        name, theta, max_iter, costs[-1], during_time))  # 输出实验结果\n",
    "\n",
    "    fig, ax = plt.subplots(figsize=(12, 4))  # 创建绘图对象\n",
    "    ax.plot(np.arange(len(costs)), costs, c='r')  # 绘制损失值曲线\n",
    "    ax.set_xlabel('Iterations')  # 设置横轴标签\n",
    "    ax.set_ylabel('Cost')  # 设置纵轴标签\n",
    "    ax.set_title(name.upper() + ' - Error vs. Iteration')  # 设置图表标题\n",
    "\n",
    "    return theta  # 返回参数向量"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b9a76bb6-8506-44f1-ae23-501c65788f43",
   "metadata": {},
   "source": [
    "### 不同的停止策略"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "95814561-3976-4630-8bbb-5d56b282f9e0",
   "metadata": {},
   "source": [
    "#### 1. 设定迭代次数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "178388e6-d68e-4e7e-95b1-9cbfa3f0ecf6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***Original data - learning rate: 1e-06 -Gradient descent - Stop: 5000 iterations\n",
      "Theta: [[-0.00027127  0.00705232  0.00376711]] - Iter: 5000 - Last cost: 0.63 - Duration: 0.82s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([[-0.00027127,  0.00705232,  0.00376711]])"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 梯度下降方法是基于所有样本\n",
    "batch_size = 100\n",
    "run_expe(orig_data, theta, batch_size, STOP_ITER, threshold=5000, alpha=0.000001)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b888ba5c-f8ac-4af8-8cb5-2ee2d74fb694",
   "metadata": {},
   "source": [
    "#### 2. 根据损失值停止迭代"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "5eaa9857-1ea5-4c25-ae38-6e6147f610e5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***Original data - learning rate: 0.001 -Gradient descent - Stop: costs change < 1e-06\n",
      "Theta: [[-5.13364014  0.04771429  0.04072397]] - Iter: 109901 - Last cost: 0.38 - Duration: 18.44s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([[-5.13364014,  0.04771429,  0.04072397]])"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "run_expe(orig_data, theta, batch_size, STOP_COST, threshold=0.000001, alpha=0.001)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "72422205-6b6c-427b-b58b-ef5af04347f1",
   "metadata": {},
   "source": [
    "#### 3. 根据梯度变化停止迭代"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "74d1db95-bd68-4a70-959b-3acbfd591351",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***Original data - learning rate: 0.001 -Gradient descent - Stop: gradient norm < 0.05\n",
      "Theta: [[-2.37033409  0.02721692  0.01899456]] - Iter: 40045 - Last cost: 0.49 - Duration: 6.85s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([[-2.37033409,  0.02721692,  0.01899456]])"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "run_expe(orig_data, theta, batch_size, STOP_GRAD, threshold=0.05, alpha=0.001)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "267c072d-d649-4bd5-b81f-e36243208690",
   "metadata": {},
   "source": [
    "### 对比不同梯度下降方法"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0d0645bc-9cf4-4d17-a373-2c0e52e99f09",
   "metadata": {},
   "source": [
    "#### 1. Stochastic Descent"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "b8755b88-6358-4800-b151-c1544ea63ba9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***Original data - learning rate: 0.001 -Stochastic descent - Stop: 5000 iterations\n",
      "Theta: [[-0.38363562  0.09112192 -0.02008613]] - Iter: 5000 - Last cost: 1.36 - Duration: 0.24s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([[-0.38363562,  0.09112192, -0.02008613]])"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "run_expe(orig_data, theta, 1, STOP_ITER, threshold=5000, alpha=0.001)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9fe8bafb-c8a0-42a9-85c2-d698077c26fd",
   "metadata": {},
   "source": [
    "很不稳定，把学习率调小再跑一次"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "d0737a50-d843-4c0d-b955-387835207fca",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***Original data - learning rate: 2e-06 -Stochastic descent - Stop: 15000 iterations\n",
      "Theta: [[-0.00202157  0.0100214   0.00095339]] - Iter: 15000 - Last cost: 0.63 - Duration: 0.69s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([[-0.00202157,  0.0100214 ,  0.00095339]])"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "run_expe(orig_data, theta, 1, STOP_ITER, threshold=15000, alpha=0.000002)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "da7cae58-344c-4ed9-92cc-6f2bf97940d5",
   "metadata": {},
   "source": [
    "速度快，但稳定性差，需要很小的学习率"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "642a5950-c743-4f79-aa7f-9ebee8395066",
   "metadata": {},
   "source": [
    "#### 2. Mini-batch Descent"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "8e961fd5-405b-4ccf-831b-d21b753820cd",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***Original data - learning rate: 0.001 -Mini-batch (16) descent - Stop: 15000 iterations\n",
      "Theta: [[-1.0351366   0.00308678  0.00389951]] - Iter: 15000 - Last cost: 0.76 - Duration: 0.95s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([[-1.0351366 ,  0.00308678,  0.00389951]])"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "run_expe(orig_data, theta, 16, STOP_ITER, threshold=15000, alpha=0.001)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2959f248-3370-41e9-a859-702f26f44fe3",
   "metadata": {},
   "source": [
    "浮动仍然比较大，我们来尝试下对数据进行标准化 将数据按其属性(按列进行)减去其均值，然后除以其方差。最后得到的结果是，对每个属性/每列来说所有数据都聚集在0附近，方差值为1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "6b8675f6-6336-4882-835b-18ff359d17b8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***Scaled data - learning rate: 0.001 -Gradient descent - Stop: 5000 iterations\n",
      "Theta: [[0.3080807  0.86494967 0.77367651]] - Iter: 5000 - Last cost: 0.38 - Duration: 0.87s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([[0.3080807 , 0.86494967, 0.77367651]])"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn import preprocessing\n",
    "\n",
    "scaled_data = orig_data.copy()\n",
    "# 第一列是b偏置，第四列是target目标值，所以要去中间的两列\n",
    "scaled_data[:, 1: 3] = preprocessing.scale(orig_data[:, 1: 3])\n",
    "\n",
    "run_expe(scaled_data, theta, batch_size, STOP_ITER, threshold=5000, alpha=0.001)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3a9e60cc-8a8d-47b7-b045-0b2802b56e4b",
   "metadata": {},
   "source": [
    "它好多了！原始数据，只能达到达到0.61，而我们得到了0.38个在这里！ 所以对数据做预处理是非常重要的"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "17b1d733-eb41-42c0-9ee1-2f1fa0bbf2c2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***Scaled data - learning rate: 0.001 -Gradient descent - Stop: gradient norm < 0.02\n",
      "Theta: [[1.0707921  2.63030842 2.41079787]] - Iter: 59422 - Last cost: 0.22 - Duration: 10.71s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([[1.0707921 , 2.63030842, 2.41079787]])"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA+4AAAGJCAYAAAAUiml1AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy80BEi2AAAACXBIWXMAAA9hAAAPYQGoP6dpAABwx0lEQVR4nO3dd3gU5drH8d+mJ4QUJCQBA6H3Jk1EmgQREcSCgCBFRVFQFCvqAeUoYAFRRFSOCiIIgmCliDRBEZAO0rv0loQeSJ73j3l3yZJND9mU7+e65trNzDMz92xmZ/feeYrNGGMEAAAAAADyJA93BwAAAAAAAFJH4g4AAAAAQB5G4g4AAAAAQB5G4g4AAAAAQB5G4g4AAAAAQB5G4g4AAAAAQB5G4g4AAAAAQB5G4g4AAAAAQB5G4g4AAAAAQB5G4g4AAAAAgAu9evVSdHS0u8MoPIn7xo0bdf/996tMmTLy8/NTqVKl1Lp1a40ZMyZF2cTERH355Zdq0aKFihUrJl9fX0VHR6t37976+++/XW7/448/ls1mU6NGjVKNwWazqX///mnG2aJFC9lsNpdTlSpVHOUmTJjgtMzPz08lS5ZUmzZt9OGHH+rMmTMZel0WL17stB1fX1+Fh4erRYsWGjZsmI4fP57m+g888IBsNpteeuklx7y9e/emegzXTnv37nWs9+KLL8pms6lz584Zij0rWrRooRo1aqRZ5vXXX08z5iNHjqRYZ8uWLY7/Q2xsbKr7Tr4df39/1apVS6NHj1ZSUpJT2eSv4XfffZdqjCdOnHDM69WrlwIDA13us3379im2Yd/He++9l2LZsWPH9PLLL6tmzZoKDAyUn5+fKlSooN69e2vZsmUujy+1+G02mzw8PFSsWDG1bdtWy5cvT3W91F7HXr16Zeh86tWrl9Nxp/c+yqxLly7ppZdeUsmSJeXv769GjRpp/vz5GV7/4MGDeuCBBxQSEqKgoCDdfffd2r17t8uyn3/+uapWrSo/Pz9VrFjR5bVq27ZtevbZZ3XLLbfIz88vxXsquzJzHlx7TfLy8lKpUqXUq1cvHTx4MNV9ZPTamXy7xYoVU7169TRgwAD9888/Kcq7OrevvdZdO02dOtVRNjo6WjabTU899VSKbdu3M2PGjBSxpTUtXrw41eOz78/+XgkJCVHNmjX12GOPacWKFem+JtdOffv2dSr7008/qXnz5ipRooQCAgJUrlw5PfDAA5o7d26K7cbHx+uNN95Q7dq1FRgYKH9/f9WoUUMvvfSSDh065CiX1nvSz8/P5eu+evXqFPtLft269hxKbcrJL0/Hjx/XgAEDVKVKFfn7+6tEiRJq2LChXnrpJZ09ezbd8yb5lNzmzZvVvXt3lSpVSr6+vipZsqS6deumzZs3p4jB1ed5pUqV1L9/fx09ejRbx8d7OHffwxnZX3LZOU/S+//YPwcrVqzoMub58+c7tuUqtuvtzz//1K233qqAgABFRETo6aef1tmzZzO8fkY+I2fOnKnOnTurXLlyCggIUOXKlfXcc8+l+j0tOzJ6TYTr7+LDhg3T999/756A/t+hQ4f0+uuva926dW6NIy1e7g4gN/z5559q2bKlSpcurT59+igiIkIHDhzQX3/9pQ8++MDpQnvhwgXde++9mjt3rpo1a6ZXXnlFxYoV0969e/Xtt99q4sSJ2r9/v2688UanfUyePFnR0dFauXKldu7cqQoVKmQ53htvvFHDhw9PMT84ODjFvKFDh6ps2bK6fPmyjhw5osWLF+uZZ57RqFGj9OOPP6pWrVoZ2ufTTz+tBg0aKDExUcePH9eff/6pIUOGaNSoUfr222912223pVgnPj5eP/30k6Kjo/XNN99oxIgRstlsCgsL06RJk5zKjhw5Uv/++6/ef/99p/lhYWGSJGOMvvnmG0VHR+unn37SmTNnVLRo0QzFfr2MGzcuRSIsSSEhISnmff3114qIiNDp06c1Y8YMPfrooy63mfx/e+LECU2ZMkXPPvusjh8/rrfeesvlOkOHDtW9996b4othZvz8889avXq16tWrl27ZlStXql27djpz5oy6dOmivn37ytfXV3v27NH333+vCRMmaMmSJWrWrFm62+ratavuvPNOJSYmavv27fr444/VsmVLrVq1SjVr1kxRPrXX8fHHH1dMTIyj3J49ezR48GA99thjatq0qWN++fLlHc8z8z7KqF69emnGjBl65plnVLFiRU2YMEF33nmnFi1apFtvvTXNdc+ePauWLVsqLi5Or7zyiry9vfX++++refPmWrdunW644QZH2U8//VR9+/bVfffdp4EDB2rp0qV6+umndf78eacfyZYvX64PP/xQ1apVU9WqVXP0wyar54H9mnTx4kX99ddfmjBhgpYtW6ZNmza5/PKS0Wtn69at1aNHDxljFBcXp/Xr12vixIn6+OOP9fbbb2vgwIEZOi77te5ajRs3TjFv/PjxGjRokEqWLJnq9q691n311VeaP39+ivlVq1ZNM646deroueeekySdOXNGW7Zs0fTp0zV+/Hg9++yzGjVqVIp17K/JtSpVquR4/t577+mFF15Q8+bNNWjQIAUEBGjnzp367bffNHXqVN1xxx2Osrt371ZMTIz279+vTp066bHHHpOPj482bNigzz//XLNmzdL27dsd5X19ffW///0vxf49PT1dHuPrr7+un376KdXXoFmzZilet0cffVQNGzbUY4895pjn6rqcFadOnVL9+vUVHx+vhx9+WFWqVNHJkye1YcMGjRs3Tk888YSqVq2aIqZBgwYpMDBQr776qsvtzpw5U127dlWxYsX0yCOPqGzZstq7d68+//xzzZgxQ1OnTtU999yTYr3k751ly5Zp3Lhxmj17tjZt2qSAgIBMHx/v4dx9D2d0f3Y5cZ6k9//x8/PTzp07tXLlSjVs2NBp2eTJk+Xn56eLFy+mG2tOW7dunVq1aqWqVatq1KhR+vfff/Xee+9px44dmjNnTrrrZ/Qz8rHHHlPJkiXVvXt3lS5dWhs3btRHH32k2bNna82aNfL398/R48rsNRFXDRs2TPfff786duzothgOHTqkN954Q9HR0apTp47TsvHjx6e4yeYWphC48847TVhYmDl9+nSKZUePHnX6u1+/fkaSef/991OUvXLlinn33XfNgQMHnObv3r3bSDIzZ840YWFh5vXXX3cZhyTTr1+/NGNt3ry5qV69etoHZIz58ssvjSSzatWqFMsWLFhg/P39TZkyZcz58+fT3M6iRYuMJDN9+vQUy9atW2dKlChhQkJCzKFDh1Is/+KLL4y3t7dZuHChkWQWL16c6n7atWtnypQpk+py+zYWLlxovL29zYQJE9KMO6sy8voOGTLESDLHjx/P0DaTkpJMdHS0GThwoLnnnntMixYtMrzvCxcumDJlypiiRYuaK1euOObv2bPHSDJ16tQxksx3332Xbow9e/Y0RYoUSbHP0qVLm9DQUNO+fXunZfZ9vPvuu455p06dMpGRkSYiIsJs2bLF5bFOmTLFrFy5Ms3XxNW2jTFmzpw5RpJ54oknXG47I6+jMcasWrXKSDJffvmly+UZfR9lxooVK1Ic04ULF0z58uVN48aN013/7bffNpKcXrstW7YYT09PM2jQIMe88+fPmxtuuMG0a9fOaf1u3bqZIkWKmFOnTjnmnTx50sTHxxtjjHn33XeNJLNnz56sHqJDVs6D1K5JL730kpFkpk2blmI72b12njhxwjRu3NhIMr/88otjvqvzL61r3bXKlCljqlevbry8vMxTTz3ltCy97dg/QzKjTJkyKf7fxljnQseOHY0k8/HHHzsty8jnyeXLl01QUJBp3bq1y+XJP/8uX75sateubQICAszSpUtTlI2LizOvvPKK429X1xtX7K+X/Vq2evVqp+XpbadIkSKmZ8+e6e4nK9555x0jyfzxxx8plsXFxZkLFy64XK969eqmefPmLpft3LnTBAQEmCpVqphjx445LTt+/LipUqWKKVKkiNm1a5djfmrvnYEDBxpJZsqUKZk8Mt7D7ngPZ2Z/OXmepPb/sX8OVq5c2TzzzDNOyy5cuGCCgoLMfffdl+HXNCPi4+Mz9BnUtm1bExkZaeLi4hzzxo8fbySZefPmpbluZj4jFy1alGL9iRMnGklm/Pjx6caZGRm9Jrpy9uzZVJedO3cuqyEZY6xr+6VLl7K1jZzm6jva9bjWX7hwwSQmJma4fHrfLfOCQlFVfteuXapevbrLO6UlSpRwPP/333/16aefqnXr1nrmmWdSlPX09NTzzz/v8m57aGio2rVrp/vvv1+TJ0/O6UPIlNtuu03/+c9/tG/fPn399ddZ3k7t2rU1evRoxcbG6qOPPkqxfPLkyWrdurVatmypqlWrZuu4J0+erGrVqqlly5aKiYlx+2uYGX/88Yf27t2rLl26qEuXLvr999/177//ZmhdPz8/NWjQQGfOnNGxY8dSLO/SpYsqVaqkoUOHyhiTpfiKFi2qZ599Vj/99JPWrFmTZtlPPvlEhw8f1ujRo11WKbfZbOratavLux0ZYb87vmvXrhTLsvM6ZsfWrVu1f//+dMvNmDFDnp6eTnf+/Pz89Mgjj2j58uU6cOBAuus3aNDA6bWrUqWKWrVqpW+//dYxb9GiRTp58qSefPJJp/X79eunc+fO6ZdffnHMK1as2HWpmZKT50Fa//PsXjtvuOEGTZ06VV5eXqnWWMmq6Oho9ejRQ+PHj3eqIp6b/P39NWnSJBUrVkxvvfVWpq8BJ06cUHx8vJo0aeJyefLPv++++07r16/Xq6++6rL2SFBQULZe46eeekqhoaF6/fXXs7yNnLZr1y55enrq5ptvTrEsKCgoS9Vb3333XZ0/f16fffaZo0aZXfHixfXpp5/q3Llzeuedd9Ldlr2m2549e5xidvVeuhbv4dx/D2dmfzl5nqT1/5Gsmm/Tpk1zulv4008/6fz583rggQfS3X5GLFu2TL1791ZkZGS61Z3j4+M1f/58de/eXUFBQY75PXr0UGBgoNPnoSuZ+Yxs0aJFivXttRi2bNmSzlFdH/YmD0uWLNGTTz6pEiVKOPIKexXy1atXq1mzZgoICNArr7wiyWr28sgjjyg8PFx+fn6qXbu2Jk6c6LTt5E1MRo8erfLly8vX19dlcxRJqlGjhlq2bJliflJSkkqVKqX777/fMW/q1KmqV6+eihYtqqCgINWsWVMffPBBjrwmNptN586d08SJE1M0fZSsZoYPP/ywwsPD5evrq+rVq+uLL75w2oa9ScrUqVP12muvqVSpUgoICFB8fLxOnTql559/3tFkKCgoSG3bttX69eud1rdfD3v37u2IY8KECZJct3E/d+6cnnvuOUVFRcnX11eVK1fWe++9l+Kz2mazmkp///33qlGjhuMYXDVXS0+hSNzLlCmj1atXa9OmTWmWmzNnjq5cuaKHHnooU9ufPHmy7r33Xvn4+Khr167asWOHVq1aleV4ExMTdeLEiRTTuXPnMrwN+zH8+uuvWY5Dku6//375+/un2M6hQ4e0aNEide3aVZL1wTBjxgwlJCRkeh+XLl3Sd99957SthQsXumxLnptOnTqV4n/gql3U5MmTVb58eTVo0EDt27dXQECAvvnmmwzvx36hdfXDkqenp1577TWtX79es2bNyvKxDBgwIENfmn/66Sf5+/vr3nvvzfK+0mJvfx0aGppiWXZfx2tl9H1UtWpVl9WNr7V27VpVqlTJ6YuGJEf1w7SqqSclJWnDhg2qX79+imUNGzbUrl27HP1SrF27VpJSlK1Xr548PDwcy6+nnDwP0vufZ/faWbp0aTVv3lx//fWX4uPj0y1/5swZl+eFq6T41Vdf1ZUrVzRixIhMxZSTAgMDdc899+jgwYMpvnxdvHjR5bHYr8MlSpSQv7+/fvrpJ506dSrN/fz444+SlOnPP1f7d/V/CAoKyvAPiLmlTJkySkxMTFElOjvszceSN+FJrlmzZoqOjnZKLlJjT8SSN6Np1aqVWrVqlaE4eA/n/ns4o/vLyfMkrf+PJD344IM6fPiwUxv9KVOmqFWrVk4/3mXW0aNH9e6776pKlSpq2rSpfv75Zz366KPpVnXeuHGjrly5kuIzzsfHR3Xq1En3My67n5H275bFixdPs1xWZfSa+OSTT+qff/7R4MGD9fLLLzvmnzx5Um3btlWdOnU0evRotWzZUhcuXFCLFi00adIkdevWTe+++66Cg4PVq1cvl8nzl19+qTFjxuixxx7TyJEjVaxYMZexdu7cWb///nuK79vLli3ToUOH1KVLF0lWfwhdu3ZVaGio3n77bY0YMUItWrTQH3/8kZ2XymHSpEny9fVV06ZNNWnSJE2aNEmPP/64JOs8u/nmm/Xbb7+pf//++uCDD1ShQgU98sgjGj16dIpt/fe//9Uvv/yi559/XsOGDZOPj492796t77//XnfddZdGjRqlF154QRs3blTz5s0dP7JVrVpVQ4cOlWQ1sbDHkVqzUGOMOnTooPfff1933HGHRo0apcqVK+uFF15w2exn2bJlevLJJ9WlSxe98847unjxou677z6dPHkycy+WO2/355Zff/3VeHp6Gk9PT9O4cWPz4osvmnnz5pmEhASncs8++6yRZNauXZvhbf/9999Gkpk/f74xxqp+duONN5oBAwakKKsMVpWX5HJ6/PHHHeXSqipvFxwcbOrWrZvm/jJS9ax27domNDTUad57771n/P39HdV0t2/fbiSZWbNmudxGWlXlZ8yYYSSZHTt2GGOsqlZ+fn4umytkV2aqyruaKleu7FQ2ISHB3HDDDebVV191zHvwwQdN7dq1Xe67SpUq5vjx4+b48eNm69at5oUXXjCSUlT5Sl5N8MqVK6ZixYqmdu3aJikpySnGjFSVtx/vG2+84VRV1VVVxNDQUFOnTp0UscfHxzviPn78eJrVupJv+4033jDHjx83R44cMUuXLjUNGjRweb5l5nU0JmNV5TPyPjLGel+mVu01uerVq5vbbrstxfzNmzcbSeaTTz5Jdd3jx48bSWbo0KEplo0dO9ZIMlu3bjXGWNU0PT09XW4nLCzMdOnSxeWynKwqn5XzwH5N+u2338zx48fNgQMHzIwZM0xYWJjx9fVN0cQoJ6+dAwYMMJLM+vXrjTFpV7NNbTp8+LCjbPKq67179zZ+fn6O5kK5WVXe7v333zeSzA8//OCYl9axfPPNN45ygwcPNpJMkSJFTNu2bc1bb72Vorq6McbUrVvXBAcHZzjmnj17prr/Nm3aOMolf71iY2NNaGio6dChg9N23FVV/siRIyYsLMxIMlWqVDF9+/Y1U6ZMMbGxsWmul1pV+djYWCPJ3H333Wmu36FDByPJ8fnp6r0zdepUc8MNNxh/f3/z77//OtYtU6ZMms3O7HgPu+89nN7+cvI8Sev/k/zzv379+uaRRx4xxhhz+vRp4+PjYyZOnJip5gfGWE1Gf/rpJ9OxY0fj5eVlPD09Tbt27cyMGTNSfKdOzfTp040k8/vvv6dY1qlTJxMREZHm+ln9jLR75JFHjKenp9m+fXuG4s2ojF4T7f/HW2+91amJpDFXv7tc+31i9OjRRpL5+uuvHfMSEhJM48aNTWBgoOMcsb9vgoKCUjTBcGXbtm1GkhkzZozT/CeffNIEBgY6mtsOGDDABAUFpYg3qzJTVf6RRx4xkZGR5sSJE07zu3TpYoKDgx0x2s/lcuXKpWgmfPHixRRV5vfs2WN8fX2dvpel9d2yZ8+eTtfe77//3kgyb775plO5+++/39hsNrNz507HPEnGx8fHad769etdvvbpKRR33Fu3bq3ly5erQ4cOWr9+vd555x21adNGpUqVctxlkOT4RSwzVU8nT56s8PBwR1UTm83qFX3q1KlKTEzMUrzR0dGaP39+islV9f20BAYGZrh3+cxuZ/LkyWrXrp3jtapYsaLq1auXpSrukydPVv369R0d2hQtWlTt2rVze3X57777LsX/4Msvv3QqM2fOHJ08edJRW0CyagysX7/eZa+wW7duVVhYmMLCwlSlShW9++676tChg6MqjivJ77pnp8dN+133N954I9Uy8fHxLjt+euihhxxxh4WFOXX+kpYhQ4YoLCxMERERatq0qbZs2aKRI0c6Vb+SMv86ZkRG30fGmDR7C7a7cOGCfH19U8y3V6e9cOFCmutKytD6Fy5ckI+Pj8vt+Pn5pbmfnJKd8yAmJkZhYWGKiorS/fffryJFiujHH3902cQop66d9lgzcr0bPHiwy/MitTsSr732Wp646y6lPL67777b5bEkr/r4xhtvaMqUKapbt67mzZunV199VfXq1dNNN93kVFU0Pj4+080u/Pz8XO4/tdcqODhYzzzzjH788cdcqTmSnvDwcK1fv159+/bV6dOn9cknn+jBBx9UiRIl9N///jfTTRPs/5/0Xkf78mvvwiV/73Tp0kWBgYGaNWuWSpUq5Sizd+/eDI0cwXv4qtx+D6e3v5w8T9L6/yT34IMPaubMmUpISHA0+3LV8V1aXn31VZUuXVrt27fXli1b9Oabb+rAgQP6+eefdd9998nb2ztD20nv8zC9z7jsfEZOmTJFn3/+uZ577rlUe9vPjsxcE/v06eOy0zpfX1/17t3bad7s2bMVERHh9B3J29vb0RP/kiVLnMrfd999KZpguFKpUiXVqVNH06ZNc8xLTEzUjBkz1L59e0fnfSEhITp37lymRtHJCcYYfffdd2rfvr2MMU61GNq0aaO4uLgUNbh69uyZotNBX19feXhYKW9iYqJOnjypwMBAVa5cOcs1wGbPni1PT089/fTTTvOfe+45GWNSdLIYExPj1IFyrVq1FBQUlOrIQqkpFL3KS1KDBg0cFy17teP3339f999/v9atW6dq1ao5qsBmNNlNTEzU1KlT1bJlS6c2aI0aNdLIkSO1YMEC3X777ZmOtUiRIk49aGfV2bNns1UNKvl2kn/AbNmyRWvXrlWPHj20c+dOx/wWLVpo7Nixio+PT1GdODWxsbGaPXu2+vfv77StJk2a6LvvvtP27dudeki+1qlTp5yq5/v7+2er1/DkmjVrlm5Vqq+//lply5aVr6+vI/7y5csrICBAkydP1rBhw5zKR0dHO3qm3LVrl9566y0dP3483baU3bp103//+18NHTo0yz1u2r80DxkyRGvXrnVZra5o0aIuh2MZOnSoYyjD1q1bZ3ifjz32mDp16qSLFy9q4cKF+vDDD11+ocvs65gROfU+svP399elS5dSzLf3yJtW77T2ZRlZ39/fP9UmJxcvXsyxXnDj4uKcvuD4+Pg4vvhm5zwYO3asKlWqpLi4OH3xxRf6/fffU3xBy+lrpz3WjCSeNWvWzNR5Ua5cOT300EP67LPPnKoz5qbUju/GG2/M0LF07dpVXbt2VXx8vFasWKEJEyZoypQpat++vaMn6qx8gfD09Mz0e2zAgAF6//339frrr+uHH37I1LrpsY+KklyxYsVS/ZIvSZGRkRo3bpw+/vhj7dixQ/PmzdPbb7+twYMHKzIyMtURQlyx/3/S+w6RWuJmf+94eXkpPDxclStXdnzZzCzew1fl9ns4vf3l1HmS1v/nWl26dNHzzz+vOXPmaPLkybrrrrsy/UOd/XO4W7duGjNmTKpV89OT3udhep9xWf2MXLp0qR555BG1adMmQ/0ppPUZmZrMXBPLli3rcn6pUqVSXLP27dunihUrprge2Ec62LdvX4a27Urnzp31yiuv6ODBgypVqpQWL16sY8eOOQ3N/OSTT+rbb79V27ZtVapUKd1+++164IEHnEYluR6OHz+u2NhYffbZZ/rss89clrm2fyhXx56UlKQPPvhAH3/8sfbs2eP0PTR5U6TM2Ldvn0qWLJnifZTa/6R06dIpthEaGqrTp09nar+F4o57cj4+PmrQoIGGDRumcePG6fLly5o+fbokOTpw2bhxY4a2tXDhQh0+fFhTp05VxYoVHZO9sw933jH+999/FRcXl61h6STp8uXL2r59u9N27B3ePfvss07HPXLkSF28eNHluOOpmT59ui5duqSRI0c6bcvePiS91/Dee+9VZGSkYxowYEAWjjJr7MPh7dmzxyn2atWq6fz585oyZUqKOzb2ZPL222/XE088odmzZ2vlypWOzkdSY7/rvm7dumx92R0wYIBCQkJSvetepUoVbdu2TZcvX3aaX6tWLcXExGT6S3rFihUVExPjaFf07LPP6uWXX9bff//tKJOV19EdIiMjdfjw4RTz7fPSGv6nWLFi8vX1zdD6kZGRSkxMTPFhlJCQoJMnT2ZomKGMGDBggNN7J3lb2OycBw0bNlRMTIzuu+8+/fjjj6pRo4YefPBBpyQip6+dmzZtkqenZ6a+rGSGvd3q22+/fV22nx57/yzZvZ4HBQWpdevWmjx5snr27Kldu3Y5xomvUqWK4uLi0u1kMbuu5133AwcOOJ3TkZGR+vPPPzO0rs1mU6VKlfTUU0/p999/l4eHR6bPw+DgYEVGRmrDhg1pltuwYYNKlSrlsr+MmJgYtWjRQlWrVs1y0i7xHr5Wbr+H09pfTp0naf1/rhUZGakWLVpo5MiR+v333/Xggw9m+pi+++47tW3bVt98841Kliyprl276tdff830EFmRkZGSlOrnYXqfcVn5jFy/fr06dOigGjVqaMaMGfLySv++ZVqfkTkhtR8YcuLH+cxso3PnzjLGOHKhb7/9VsHBwU5JeYkSJbRu3Tr9+OOP6tChgxYtWqS2bduqZ8+e2Y41LfZzq3v37i5rMsyfPz9F56uujn3YsGEaOHCgmjVrpq+//lrz5s3T/PnzVb169Vwb4i21IQEz+/220CXuydk7trBfPNq2bStPT88M98Q+efJklShRQtOnT08xde3aVbNmzcqVaq2u2DvbadOmTba2M2PGDF24cMGxHWOMpkyZopYtW7o87lq1amXqA3vy5MmqUaOGy23FxMRoypQpaa4/cuRIpzfwiy++mK3jzYyZM2fq4sWLGjduXIrY33zzTe3bty/djjtq1aql7t2769NPP023Z/Pu3burQoUKeuONN7KcyNq/NP/www8uvzTfddddunDhQrY6wkvLq6++qqJFi+q1115zzMuJ1zE31KlTR9u3b09RbdGe+Fw75mdyHh4eqlmzptMPFsnXL1eunONXW/t2ri37999/KykpKc39ZMaLL77o9N4ZOXKkY1lOnQeenp4aPny4Dh065DQyRU5eO/fv368lS5aocePG16WHfcmq/WF/n7r6snk9nT17VrNmzVJUVFSGxpHOqGs//9q3by9J2RqJJKOeeeaZNH9AzKqIiIgUX+pq166d6e2UK1dOoaGhWfpf33XXXdqzZ4+WLVvmcvnSpUu1d+9e3XXXXZnedmbj4D18VW6/h9PbX06dJ6n9f1x58MEHtXTpUgUFBenOO+/M+MH8v3vvvVezZ8/Wvn379Morr2jFihVq06aNypQpo9dee82p1mRaatSoIS8vrxSfcQkJCVq3bl26n3GZ/YzctWuX7rjjDpUoUUKzZ8922YTElbQ+I3NbmTJltGPHjhRJ5tatWx3Ls6ps2bJq2LChpk2bpitXrmjmzJnq2LFjilocPj4+at++vT7++GPt2rVLjz/+uL766qsM/9/TY7PZUswLCwtT0aJFlZiY6PjB8dopIzWLZ8yYoZYtW+rzzz9Xly5ddPvttysmJiZFh9OuYkhNmTJldOjQoRQ1Z3Lif5KmTLWIz6cWLlzo6NQrOfu4yqNGjXLM69u3r5FkPvzwwxTlExMTzXvvvWcOHDhgzp8/b4oWLWoefvhhl/v8448/jCQzdepUxzxlsHO6nBrHvWzZsqmOQ2uXkXHcQ0NDHZ2+LF261EgyX331lcvtvfXWW8bDw8McPHjQab6rzun2799vbDabyw67jDFm8uTJRpL566+/0jyGzMjJcdxbtWplypUr53LZxYsXTWBgoOnbt2+6+968ebOx2WxOHfqkNg76hAkTjHR1TOTMdE5nFxsba0JCQhzbSL6PkydPmvDwcFOyZEmzbdu2FLEmJSVl6DxOLX5jjHnxxReNknUCmdnX0ZicHcd9y5YtZt++femW++uvv1Ic08WLF02FChVMo0aNnMru27cvxdjJI0aMSPGe3bp1q/H09DQvvfSSY9758+dNsWLFzF133eW0fvfu3U1AQIA5efKky/hysnO6rJwHaV2TGjZsaMLDw82FCxdy9Np58uRJc8sttxibzWbmzJnjmJ8TY0Bf21nczp07jaenp+N9k9vjuF/bWVFG3ofnzp0zf/75p8tld955p5Fk1qxZY4yxOjqqWbOmKVKkiMt14uPjszWO+7Wv1+uvv24kmdq1a7utc7q//vrLZUebK1asMJKcOtFLLq1x3Ldv3278/f1NtWrVUnSmdPLkSVOtWjUTEBDg1ElRRjqbtdu5c6fTuqnhPez+93Ba+8vp8yT5/8fu2s/B2NhYM2TIEDNlyhTHvMx2TpdcUlKS+fXXX03nzp2Nr6+vkWSaNm1qVqxYke66d9xxh4mMjHR0qmaMMf/73/+MJKfz4Ny5c2bLli1O33Uy8xl5+PBhU65cOVOyZMkc+WxMS0aviWn9H1P77mLvnC75/+7y5cumSZMmLjunc/XdKy0jR440ksynn35qJJnZs2c7Lb/2HDXmase6mzZtMsZYnyFbtmxxdMqYFlfHGR4e7rLDxl69ehkfHx+zcePGFMuSd8CX1rl80003mRYtWjjN+/bbb43k3Dnxli1bjCSXnWOn1jndsGHDnMp17tzZZed0rq5/ZcqUyfTnW6Fo4/7UU0/p/Pnzuueee1SlShUlJCTozz//1LRp0xQdHe3UCcTIkSO1a9cuPf3005o5c6buuusuhYaGav/+/Zo+fbq2bt2qLl266Mcff9SZM2fUoUMHl/u8+eabFRYWpsmTJzu1E/n777/15ptvpijfokULx9i5cXFxqd716N69u9Pfc+bM0datW3XlyhUdPXpUCxcu1Pz581WmTBn9+OOPGR6HdunSpbp48aKj04Y//vhDP/74o4KDgzVr1ixFRERIsn5l9/T0VLt27Vxup0OHDnr11Vc1depUl8MhJGevAp3aa3jnnXfKy8tLkydPVqNGjTJ0HBlx/Phxl/+DsmXLqlu3bo6/Z8yY4fKX2datWysxMVGLFi1K0SmFna+vr9q0aaPp06frww8/TLPTlmrVqunOO+/U//73P/3nP/9Js72Nva17WkOPpSc4OFgDBgxweberWLFimjVrltq3b6/atWurS5cuatCggby9vXXgwAFHVSpXbXUyasCAARo9erRGjBihUaNG5djreK2Mvo+qVq2q5s2bp9tBXaNGjdSpUycNGjRIx44dU4UKFTRx4kTt3btXn3/+uVPZHj16aMmSJU41I5588kmNHz9e7dq10/PPPy9vb2+NGjVK4eHheu655xzl/P399d///lf9+vVTp06d1KZNGy1dulRff/213nrrLac2dnFxcRozZowkOWolfPTRRwoJCVFISIijLWtm5fR58MILL6hTp06aMGGCQkNDs3Tt3L59u77++msZYxQfH6/169dr+vTpOnv2rEaNGpXhtnb2a921atWqpVq1aqW6nv0O2rXj5uaUgwcPOs7Xs2fP6p9//tH06dN15MgRPffcc46hcZKzvybXCg8PV+vWrXX+/Hndcsstuvnmm3XHHXcoKipKsbGx+v7777V06VJ17NhRdevWlWR1dDRz5kzFxMSoWbNmeuCBB9SkSRN5e3tr8+bNmjJlikJDQ53ahl65ciXV99g999yjIkWKpHq89rbu69evT7Pc9TRp0iRNnjxZ99xzj+rVqycfHx9t2bJFX3zxhfz8/NJtwuRKxYoVNXHiRHXr1k01a9bUI488orJlyzquEydOnNA333zj1ElRZtiHgkuvgzrewyld7/dwZvaX0+dJ8v9P3759XZYJDg5Od0jYzLDZbGrdurVat26tkydPatKkSfr888/1559/OoZJTc1bb72lW265Rc2bN9djjz2mf//9VyNHjtTtt9/udB6sXLlSLVu21JAhQxyxZ+Yz8o477tDu3bv14osvatmyZU41HOzXyZyUnWtiWh577DF9+umn6tWrl1avXq3o6GjNmDFDf/zxh0aPHp3tmioPPPCAnn/+eT3//PMqVqxYiqY0jz76qE6dOqXbbrtNN954o/bt26cxY8aoTp06jppgBw8eVNWqVdWzZ880O1xOTb169fTbb79p1KhRKlmypMqWLatGjRppxIgRWrRokRo1aqQ+ffqoWrVqOnXqlNasWaPffvst3aFOJauGy9ChQ9W7d2/dcsst2rhxoyZPnqxy5co5lStfvrxCQkL0ySefqGjRoipSpIgaNWrksglP+/bt1bJlS7366qvau3evateurV9//VU//PCDnnnmmSxf49OVqTQ/n5ozZ455+OGHTZUqVUxgYKDx8fExFSpUME899ZQ5evRoivJXrlwx//vf/0zTpk1NcHCw8fb2NmXKlDG9e/d23CVs37698fPzM+fOnUt1v7169TLe3t6OX6qUxjAm//3vf40xaQ9jlfzfZf/Fzj75+PiYiIgI07p1a/PBBx84/YqZlmuHV/H29jZhYWGmWbNm5q233nL6Ncs+ZFfTpk3T3GbZsmVTDEPn6o57zZo1TenSpdPcVosWLUyJEiXM5cuXM3Q86Unr9W3VqpUxJu3h4CSZRYsWOX6dXLBgQar7st8dtw/hlNZd4MWLFxtJZsiQIcaYtH81Tf6/z8odd2Os4WCCg4NT3cfhw4fNCy+8YKpVq2b8/f2Nr6+vKVeunOnRo4fLIVyuld6vvr169TKenp7mvffey/TraEz2hoO79rInZWw4OGOMuXDhgnn++edNRESE8fX1NQ0aNDBz585Ndf/XOnDggLn//vtNUFCQCQwMNHfddZdjGMRrffbZZ6Zy5crGx8fHlC9f3rz//vspag7ZX2dXU0aGjEpPZs6DtO4iJCYmmvLly5vy5cubu+66K1vXTg8PDxMSEmLq1q1rBgwYYDZv3pxi/awMJWV/7xmT+h3wHTt2GE9Pz+tyt84eh81mM0FBQaZ69eqmT58+qd69SutY7Ofz5cuXzfjx403Hjh1NmTJljK+vrwkICDB169Y17777rrl06VKK7Z4+fdoMHjzY1KxZ0wQEBBg/Pz9To0YNM2jQIKfhttIa+ki6WvMjrbsg9mutu+64b9iwwbzwwgvmpptuMsWKFTNeXl4mMjLSdOrUyVETwZW07rgn33bXrl1NZGSk8fb2NhEREaZr164u7xpl5o57RoeDs+M97Ox6voezsr+cOk+S/3/sQ3ZlpOZZdu64pya94WLtli5dam655Rbj5+dnwsLCTL9+/VJ8d7XHl/x/a5eRz8iMXCdzSkaviVm5426MMUePHjW9e/c2xYsXNz4+PqZmzZopvgNl9Y67McY0adLESDKPPvpoimUzZswwt99+uylRooTx8fExpUuXNo8//rjTZ4J93xm5Xrs6zq1bt5pmzZoZf3//FNs5evSo6devn4mKinK8T1q1amU+++wzR5m0zuWLFy+a5557zkRGRhp/f3/TpEkTs3z5ctO8efMU58EPP/xgqlWrZry8vJy+Z157x90YY86cOWOeffZZU7JkSePt7W0qVqxo3n33XZfnYU7dcbf9/wYBAAAAAEAeVKg7pwMAAAAAIK8jcQcAAAAAIA8jcQcAAAAAIA8jcQcAAAAAIA8jcQcAAAAAIA8jcQcAAAAAIA/zcncAuS0pKUmHDh1S0aJFZbPZ3B0OAAAAAKCAM8bozJkzKlmypDw8Mn//vNAl7ocOHVJUVJS7wwAAAAAAFDIHDhzQjTfemOn1Cl3iXrRoUUnWCxYUFOTmaAAAAAAABV18fLyioqIc+WhmFbrE3V49PigoiMQdAAAAAJBrstpcm87pAAAAAADIw0jcAQAAAADIw0jcAQAAAADIw/JE4j527FhFR0fLz89PjRo10sqVK1Mt26JFC9lsthRTu3btcjFiAAAAAAByh9sT92nTpmngwIEaMmSI1qxZo9q1a6tNmzY6duyYy/IzZ87U4cOHHdOmTZvk6empTp065XLkAAAAAABcf25P3EeNGqU+ffqod+/eqlatmj755BMFBAToiy++cFm+WLFiioiIcEzz589XQEAAiTsAAAAAoEBya+KekJCg1atXKyYmxjHPw8NDMTExWr58eYa28fnnn6tLly4qUqSIy+WXLl1SfHy80wQAAAAAQH7h1sT9xIkTSkxMVHh4uNP88PBwHTlyJN31V65cqU2bNunRRx9Ntczw4cMVHBzsmKKiorIdNwAAAAAAucXtVeWz4/PPP1fNmjXVsGHDVMsMGjRIcXFxjunAgQO5GCEAAAAAANnj5c6dFy9eXJ6enjp69KjT/KNHjyoiIiLNdc+dO6epU6dq6NChaZbz9fWVr69vtmPNdXv3Sn//LUVHS/XruzsaAAAAAICbuPWOu4+Pj+rVq6cFCxY45iUlJWnBggVq3LhxmutOnz5dly5dUvfu3a93mO7x0UdSp07SV1+5OxIAAAAAgBu59Y67JA0cOFA9e/ZU/fr11bBhQ40ePVrnzp1T7969JUk9evRQqVKlNHz4cKf1Pv/8c3Xs2FE33HCDO8K+/qpXtx7/+ce9cQAAAAAA3MrtiXvnzp11/PhxDR48WEeOHFGdOnU0d+5cR4d1+/fvl4eHc8WAbdu2admyZfr111/dEXLuqFbNeiRxBwAAAIBCzWaMMe4OIjfFx8crODhYcXFxCgoKcnc4qYuPl4KDreenTkmhoe6NBwAAAACQJdnNQ/N1r/IFWlCQZB+6jrvuAAAAAFBokbjnZVSXBwAAAIBCj8Q9LyNxBwAAAIBCj8Q9L7P3LL95s3vjAAAAAAC4DYl7XsYddwAAAAAo9Ejc87KqVa3HgweluDj3xgIAAAAAcAsS97wsJEQqVcp6vmWLW0MBAAAAALgHiXteZ68uTzt3AAAAACiUSNzzOtq5AwAAAEChRuKe19l7lidxBwAAAIBCicQ9r6OqPAAAAAAUaiTueZ09cT9wQIqPd28sAAAAAIBcR+Ke14WGSpGR1nOqywMAAABAoUPinh/UrGk9btzo3jgAAAAAALmOxD0/qF3betywwb1xAAAAAAByHYl7flCrlvW4fr174wAAAAAA5DoS9/zAnrhv2CAZ495YAAAAAAC5isQ9P6hSRfL2luLirN7lAQAAAACFBol7fuDjI1Wtaj2nnTsAAAAAFCok7vkF7dwBAAAAoFAicc8vkrdzBwAAAAAUGiTu+QWJOwAAAAAUSiTu+YU9cd++Xbpwwb2xAAAAAAByDYl7fhERIYWFSUlJ0ubN7o4GAAAAAJBLSNzzC5uN6vIAAAAAUAiRuOcnJO4AAAAAUOiQuOcnDAkHAAAAAIUOiXt+UqeO9bh2rWSMW0MBAAAAAOQOEvf8pHp1ycdHiouTdu92dzQAAAAAgFxA4p6feHtfrS6/Zo17YwEAAAAA5AoS9/ymXj3rcfVq98YBAAAAAMgVJO75zU03WY/ccQcAAACAQoHEPb9JfsedDuoAAAAAoMAjcc9vatSw2rqfOiXt3+/uaAAAAAAA1xmJe37j62sl7xLt3AEAAACgECBxz4/s1eVp5w4AAAAABR6Je35k76COO+4AAAAAUOCRuOdHdFAHAAAAAIUGiXt+VLOm5OkpHT8uHTzo7mgAAAAAANcRiXt+5O8vVa9uPae6PAAAAAAUaCTu+ZW9uvyqVe6NAwAAAABwXZG451eNGlmPK1a4Nw4AAAAAwHVF4p5f2RP3lSulpCT3xgIAAAAAuG5I3POrGjWkgAApPl7autXd0QAAAAAArhMS9/zKy0uqX996TnV5AAAAACiwSNzzM9q5AwAAAECBR+Ken5G4AwAAAECBR+Ken918s/W4YYN07px7YwEAAAAAXBduT9zHjh2r6Oho+fn5qVGjRlq5cmWa5WNjY9WvXz9FRkbK19dXlSpV0uzZs3Mp2jymVClrSkqSVq92dzQAAAAAgOvArYn7tGnTNHDgQA0ZMkRr1qxR7dq11aZNGx07dsxl+YSEBLVu3Vp79+7VjBkztG3bNo0fP16lSpXK5cjzEKrLAwAAAECB5tbEfdSoUerTp4969+6tatWq6ZNPPlFAQIC++OILl+W/+OILnTp1St9//72aNGmi6OhoNW/eXLVr187lyPMQEncAAAAAKNDclrgnJCRo9erViomJuRqMh4diYmK0fPlyl+v8+OOPaty4sfr166fw8HDVqFFDw4YNU2JiYqr7uXTpkuLj452mAsXezv2vv9wbBwAAAADgunBb4n7ixAklJiYqPDzcaX54eLiOHDnicp3du3drxowZSkxM1OzZs/Wf//xHI0eO1JtvvpnqfoYPH67g4GDHFBUVlaPH4Xb16kmentLBg9KBA+6OBgAAAACQw9zeOV1mJCUlqUSJEvrss89Ur149de7cWa+++qo++eSTVNcZNGiQ4uLiHNOBgpbcFiki1a1rPV+2zL2xAAAAAABynNsS9+LFi8vT01NHjx51mn/06FFFRES4XCcyMlKVKlWSp6enY17VqlV15MgRJSQkuFzH19dXQUFBTlOBc+ut1iOJOwAAAAAUOG5L3H18fFSvXj0tWLDAMS8pKUkLFixQ48aNXa7TpEkT7dy5U0lJSY5527dvV2RkpHx8fK57zHkWiTsAAAAAFFhurSo/cOBAjR8/XhMnTtSWLVv0xBNP6Ny5c+rdu7ckqUePHho0aJCj/BNPPKFTp05pwIAB2r59u3755RcNGzZM/fr1c9ch5A32xH3jRik21q2hAAAAAABylpc7d965c2cdP35cgwcP1pEjR1SnTh3NnTvX0WHd/v375eFx9beFqKgozZs3T88++6xq1aqlUqVKacCAAXrppZfcdQh5Q3i4VLGitGOH9Oef0p13ujsiAAAAAEAOsRljjLuDyE3x8fEKDg5WXFxcwWrv/vDD0pdfSoMGScOGuTsaAAAAAMD/y24emq96lUcaaOcOAAAAAAUSiXtBYU/cV66ULl1ybywAAAAAgBxD4l5QVKwolShhJe1//+3uaAAAAAAAOYTEvaCw2aguDwAAAAAFEIl7QWJP3H//3b1xAAAAAAByDIl7QdK8ufW4dKl05Yp7YwEAAAAA5AgS94Kkdm0pNFQ6c0Zavdrd0QAAAAAAcgCJe0Hi6Sm1aGE9X7jQraEAAAAAAHIGiXtB07Kl9bhokXvjAAAAAADkCBL3gua226zHZcsYzx0AAAAACgAS94KmWjVrPPcLF6QVK9wdDQAAAAAgm0jcCxqb7epdd9q5AwAAAEC+R+JeEJG4AwAAAECBQeJeENkT97/+ks6fd28sAAAAAIBsIXEviMqVk6KipMuXpT/+cHc0AAAAAIBsIHEviGw2qVUr6/mvv7o3FgAAAABAtpC4F1Rt2liP8+a5Nw4AAAAAQLaQuBdUrVtbd943bpQOHnR3NAAAAACALCJxL6huuEFq0MB6TnV5AAAAAMi3SNwLsjvusB7nznVvHAAAAACALCNxL8js7dznz5cSE90bCwAAAAAgS0jcC7KGDaWQEOn0aWnVKndHAwAAAADIAhL3gszLy+qkTqK6PAAAAADkUyTuBR3t3AEAAAAgXyNxL+huv916XLlSOnnSvbEAAAAAADKNxL2gu/FGqWZNyRhpzhx3RwMAAAAAyCQS98KgQwfr8ccf3RsHAAAAACDTSNwLA3viPneudOmSe2MBAAAAAGQKiXthUL++FBkpnTkjLVni7mgAAAAAAJlA4l4YeHhI7dtbz3/4wb2xAAAAAAAyhcS9sEjezt0Y98YCAAAAAMgwEvfC4rbbpIAA6d9/pXXr3B0NAAAAACCDSNwLC3//q2O607s8AAAAAOQbJO6Fyd13W4+0cwcAAACAfIPEvTBp187qqG7tWmnPHndHAwAAAADIABL3wiQsTGrRwno+Y4ZbQwEAAAAAZAyJe2HTqZP1+O237o0DAAAAAJAhJO6Fzb33WtXl//6b6vIAAAAAkA+QuBc2JUpIzZtbz6kuDwAAAAB5Hol7YWSvLj99unvjAAAAAACki8S9MLJXl1+1Stq7193RAAAAAADSQOJeGIWHS82aWc+pLg8AAAAAeRqJe2H1wAPW47Rp7o0DAAAAAJAmEvfC6v77JU9Pq3f5bdvcHQ0AAAAAIBUk7oVVWJh0xx3W86+/dm8sAAAAAIBUkbgXZt27W49ffy0lJbk3FgAAAACASyTuhVmHDlLRolbP8n/+6e5oAAAAAAAukLgXZgEB0n33Wc8nTXJvLAAAAAAAl/JE4j527FhFR0fLz89PjRo10sqVK1MtO2HCBNlsNqfJz88vF6MtYB56yHr89lvp0iX3xgIAAAAASMHtifu0adM0cOBADRkyRGvWrFHt2rXVpk0bHTt2LNV1goKCdPjwYce0b9++XIy4gGneXCpVSoqNlX75xd3RAAAAAACu4fbEfdSoUerTp4969+6tatWq6ZNPPlFAQIC++OKLVNex2WyKiIhwTOHh4bkYcQHj6Sl162Y9nzjRvbEAAAAAAFJwa+KekJCg1atXKyYmxjHPw8NDMTExWr58earrnT17VmXKlFFUVJTuvvtubd68OdWyly5dUnx8vNOEa/TqZT3+8ot0+LBbQwEAAAAAOHNr4n7ixAklJiamuGMeHh6uI0eOuFyncuXK+uKLL/TDDz/o66+/VlJSkm655Rb9+++/LssPHz5cwcHBjikqKirHjyPfq1pVatJESkyUJkxwdzQAAAAAgGTcXlU+sxo3bqwePXqoTp06at68uWbOnKmwsDB9+umnLssPGjRIcXFxjunAgQO5HHE+8eij1uP//seY7gAAAACQh7g1cS9evLg8PT119OhRp/lHjx5VREREhrbh7e2tunXraufOnS6X+/r6KigoyGmCC506SUFB0u7d0qJF7o4GAAAAAPD/3Jq4+/j4qF69elqwYIFjXlJSkhYsWKDGjRtnaBuJiYnauHGjIiMjr1eYhUORItKDD1rP//c/98YCAAAAAHBwe1X5gQMHavz48Zo4caK2bNmiJ554QufOnVPv3r0lST169NCgQYMc5YcOHapff/1Vu3fv1po1a9S9e3ft27dPj9qreiPr+vSxHmfOlE6ccG8sAAAAAABJkpe7A+jcubOOHz+uwYMH68iRI6pTp47mzp3r6LBu//798vC4+vvC6dOn1adPHx05ckShoaGqV6+e/vzzT1WrVs1dh1Bw3HSTNa1ZI02aJD37rLsjAgAAAIBCz2aMMe4OIjfFx8crODhYcXFxtHd35ZNPpCeekCpUkLZtkzzcXikDAAAAAPK17OahZGVw1r27FBws7dwpzZvn7mgAAAAAoNAjcYezwEDp//sX0Jgx7o0FAAAAAEDiDhf69ZNsNmnOHGnHDndHAwAAAACFGok7UqpQQbrzTuv52LHujQUAAAAACjkSd7j21FPW4xdfSGfOuDcWAAAAACjESNzhWuvWUuXKVtL+1VfujgYAAAAACq0sJe5Dhw7V+fPnU8y/cOGChg4dmu2gkAd4eFy96/7++1JionvjAQAAAIBCKkvjuHt6eurw4cMqUaKE0/yTJ0+qRIkSSszDSR7juGfCuXNSmTLSyZPSt99KnTq5OyIAAAAAyHfcMo67MUY2my3F/PXr16tYsWJZ2STyoiJFpP79redvvy1l/jceAAAAAEA2eWWmcGhoqGw2m2w2mypVquSUvCcmJurs2bPq27dvjgcJN+rfX3rnHWn1amnhQqlVK3dHBAAAAACFSqYS99GjR8sYo4cfflhvvPGGgoODHct8fHwUHR2txo0b53iQcKPixaVHHpE++shK4EncAQAAACBXZamN+5IlS9SkSRN5eWUq788TaOOeBXv2SBUrWh3UrVkj1a3r7ogAAAAAIN9wSxv3okWLasuWLY6/f/jhB3Xs2FGvvPKKEhISsrJJ5GVly0oPPGA9HzHCvbEAAAAAQCGTpcT98ccf1/bt2yVJu3fvVufOnRUQEKDp06frxRdfzNEAkUe89JL1OH26tHmze2MBAAAAgEIkS4n79u3bVadOHUnS9OnT1bx5c02ZMkUTJkzQd999l5PxIa+oXVu6916rZ/mhQ90dDQAAAAAUGlkeDi4pKUmS9Ntvv+nOO++UJEVFRenEiRM5Fx3yliFDrMfp06VNm9wbCwAAAAAUEllK3OvXr68333xTkyZN0pIlS9SuXTtJ0p49exQeHp6jASIPqVVLuu8+7roDAAAAQC7KUuI+evRorVmzRv3799err76qChUqSJJmzJihW265JUcDRB7DXXcAAAAAyFVZGg4uNRcvXpSnp6e8vb1zapM5juHgckCnTtKMGdbd9xkz3B0NAAAAAORp2c1Ds5W4r1692jEsXLVq1XTTTTdldVO5hsQ9B2zaZFWbN0ZasUJq2NDdEQEAAABAnpXdPNQrKzs9duyYOnfurCVLligkJESSFBsbq5YtW2rq1KkKCwvLymaRX9SoIfXoIU2cKL34orRokWSzuTsqAAAAACiQstTG/amnntLZs2e1efNmnTp1SqdOndKmTZsUHx+vp59+OqdjRF40dKjk6ystWSLNnu3uaAAAAACgwMpSVfng4GD99ttvatCggdP8lStX6vbbb1dsbGxOxZfjqCqfg158UXr3Xal6dWn9esnT090RAQAAAECek908NEt33JOSklx2QOft7e0Y3x2FwKBBUmiotHmzVW0eAAAAAJDjspS433bbbRowYIAOHTrkmHfw4EE9++yzatWqVY4FhzwuNFR65RXr+eDB0rlz7o0HAAAAAAqgLCXuH330keLj4xUdHa3y5curfPnyKlu2rOLj4zVmzJicjhF5Wf/+Upky0sGD0ogR7o4GAAAAAAqcLA8HZ4zRb7/9pq1bt0qSqlatqpiYmBwN7nqgjft1MHOmNaa7r6/0zz9SuXLujggAAAAA8oxcbeO+cOFCVatWTfHx8bLZbGrdurWeeuopPfXUU2rQoIGqV6+upUuXZjoI5HP33CO1aiVduiQNHOjuaAAAAACgQMlU4j569Gj16dPH5S8EwcHBevzxxzVq1KgcCw75hM0mffih5OUl/fCDNG+euyMCAAAAgAIjU4n7+vXrdccdd6S6/Pbbb9fq1auzHRTyoWrVpKeesp4PGCAlJLg3HgAAAAAoIDKVuB89etTlMHB2Xl5eOn78eLaDQj41ZIhUooS0bZs0cqS7owEAAACAAiFTiXupUqW0adOmVJdv2LBBkZGR2Q4K+VRw8NWE/Y03pB073BsPAAAAABQAmUrc77zzTv3nP//RxYsXUyy7cOGChgwZorvuuivHgkM+1K2b1Lq11VHd449LWRu0AAAAAADw/zI1HNzRo0d10003ydPTU/3791flypUlSVu3btXYsWOVmJioNWvWKDw8/LoFnF0MB5cLdu+WatSQLlyQPv9cevhhd0cEAAAAAG6T3Tw00+O479u3T0888YTmzZsn+6o2m01t2rTR2LFjVbZs2UwHkZtI3HPJe+9JL7wghYZKW7ZIefjHHAAAAAC4nnI9cbc7ffq0du7cKWOMKlasqNDQ0KxsJteRuOeSK1ekRo2kNWukTp2kadOsYeMAAAAAoJBxW+KeX5G456K1a6WGDa0kfsoUqWtXd0cEAAAAALkuu3lopjqnAzKlbl3pP/+xnj/5pHTwoHvjAQAAAIB8iMQd19egQVKDBlJsrNVJXeGq4AEAAAAA2UbijuvL21uaNEny85N+/VUaN87dEQEAAABAvkLijuuvcmXpnXes588/L23d6t54AAAAACAfIXFH7ujXT4qJscZ279zZegQAAAAApIvEHbnDw0P66iupRAlpwwbp2WfdHREAAAAA5Ask7sg9kZHS119b47l/+qk1tjsAAAAAIE0k7shdrVtLr7xiPe/TR9q1y73xAAAAAEAeR+KO3Pf669Ktt0pnzkj33y+dP+/uiAAAAAAgzyJxR+7z8pK++UYKC5PWrZMee4zx3QEAAAAgFSTucI8bb5SmT5c8PaXJk6X333d3RAAAAACQJ+WJxH3s2LGKjo6Wn5+fGjVqpJUrV2ZovalTp8pms6ljx47XN0BcH82bX03YX3hB+u0398YDAAAAAHmQ2xP3adOmaeDAgRoyZIjWrFmj2rVrq02bNjp27Fia6+3du1fPP/+8mjZtmkuR4rro31/q2VNKSrLGd9+9290RAQAAAECe4vbEfdSoUerTp4969+6tatWq6ZNPPlFAQIC++OKLVNdJTExUt27d9MYbb6hcuXK5GC1ynM0mffKJ1KCBdOqUdNddUmysu6MCAAAAgDzDrYl7QkKCVq9erZiYGMc8Dw8PxcTEaPny5amuN3ToUJUoUUKPPPJIuvu4dOmS4uPjnSbkMX5+0qxZUqlS0pYt0r33SgkJ7o4KAAAAAPIEtybuJ06cUGJiosLDw53mh4eH68iRIy7XWbZsmT7//HONHz8+Q/sYPny4goODHVNUVFS248Z1UKqU9MsvUmCgtGiRNcY7Pc0DAAAAgPurymfGmTNn9NBDD2n8+PEqXrx4htYZNGiQ4uLiHNOBAweuc5TIstq1r/Y0/9VX0tCh7o4IAAAAANzOy507L168uDw9PXX06FGn+UePHlVERESK8rt27dLevXvVvn17x7ykpCRJkpeXl7Zt26by5cs7rePr6ytfX9/rED2uizvukD7+WHr8cen1161h4zLQJAIAAAAACiq33nH38fFRvXr1tGDBAse8pKQkLViwQI0bN05RvkqVKtq4caPWrVvnmDp06KCWLVtq3bp1VIMvKB57TBo06OrzGTPcGw8AAAAAuJFb77hL0sCBA9WzZ0/Vr19fDRs21OjRo3Xu3Dn17t1bktSjRw+VKlVKw4cPl5+fn2rUqOG0fkhIiCSlmI987q23pBMnpPHjpQcflIoWldq0cXdUAAAAAJDr3J64d+7cWcePH9fgwYN15MgR1alTR3PnznV0WLd//355eOSrpvjICTabNG6cFB8vTZsm3XOP9Ouv0q23ujsyAAAAAMhVNmMKV9fd8fHxCg4OVlxcnIKCgtwdDtKTkCB17CjNmSMFBUkLF0r16rk7KgAAAADIsOzmodzKRt7m42O1cW/a1Lr7HhMjrVrl7qgAAAAAINeQuCPvCwiwxnhv0kSKjZVat5ZWrnR3VAAAAACQK0jckT8ULWpVl7/1Vikuzkre//rL3VEBAAAAwHVH4o78w568N2tmVZu//XZp2TJ3RwUAAAAA1xWJO/KXwEBp9mypRQvpzBnrzvsvv7g7KgAAAAC4bkjckf8UKWIl6+3aSRcvSnffLU2a5O6oAAAAAOC6IHFH/hQQIM2aJT30kJSYKPXoIb3/vrujAgAAAIAcR+KO/MvbW5owQXr2WevvgQOll1+WkpLcGhYAAAAA5CQSd+RvHh7SyJHS8OHW32+/LXXuLJ0/7964AAAAACCHkLgj/7PZrDvtX31l3YWfMcPqvO7wYXdHBgAAAADZRuKOguOhh6QFC6QbbpBWrZIaNZI2bHB3VAAAAACQLSTuKFiaNpX++kuqVEk6cEBq0sTqxA4AAAAA8ikSdxQ8FSpYyfttt0lnz0r33isNGmT1Pg8AAAAA+QyJOwqm0FBp7tyrPc6PGCG1bSudOOHeuAAAAAAgk0jcUXB5e0ujRknffGON+z5/vlSvnrR6tbsjAwAAAIAMI3FHwdeli1V1vkIFaf9+6ZZbpA8/lIxxd2QAAAAAkC4SdxQONWtaPc136CAlJEgDBljPqToPAAAAII8jcUfhERIiff+9NGaM5Osr/fyzVKuWtGiRuyMDAAAAgFSRuKNwsdmk/v2lFSukKlWkw4elVq2kV16RLl1yd3QAAAAAkAKJOwqn2rWlv/+WHnnEaus+fLjUoIG0dq27IwMAAAAAJyTuKLyKFJH+9z/pu++ksDBp40apYUPpjTeky5fdHR0AAAAASCJxB6R775U2bZLuu0+6ckV6/XXp5putRB4AAAAA3IzEHZCkEiWk6dOlKVOk0FBpzRrpppukV1+VLlxwd3QAAAAACjESd8DOZpO6dpU2b5buvtu6+z5smFSjhvTrr+6ODgAAAEAhReIOXCsy0ho2btYsqVQpafduqU0bqVs36ehRd0cHAAAAoJAhcQdS07GjtGWLNGCA5OFhVaOvUkX68EM6rwMAAACQa0jcgbQULSqNHi2tXGm1eY+NtRL52rWpPg8AAAAgV5C4AxlRr56VvH/6qVS8uHUnvk0bqUMHaccOd0cHAAAAoAAjcQcyytNTeuwxK1F/9lnJy0v66SepenXpueekkyfdHSEAAACAAojEHciskBBp1ChrnPc77rDau48aJZUrZ/VCf+6cuyMEAAAAUICQuANZVaWKNGeONHu21eY9Pt4a971CBWncODqwAwAAAJAjSNyB7GrbVlqzRpo8WSpbVjpyRHrySalqVWteYqK7IwQAAACQj5G4AznBw0N68EFp61ZpzBipRAlp1y6pe3epWjVp0iTpyhV3RwkAAAAgHyJxB3KSj4/Uv7+VtL/5plSsmLR9u9Sjh1W1/ssvqUIPAAAAIFNI3IHrITDQau++d680YoQ1hNyuXdLDD0uVK0uffSZdvOjuKAEAAADkAyTuwPVUtKj00kvSnj3Su+9aVej37JEef1yKjpbeeks6dcrdUQIAAADIw0jcgdwQGCg9/7yVtL//vhQVJR09Kr32mvX86aetZQAAAABwDRJ3IDcFBEjPPGNVm//6a2sYufPnrQ7tKlSQOneWli+XjHF3pAAAAADyCBJ3wB28vaVu3aS1a6X586Xbb5eSkqRvv5VuuUWqX1/64gvpwgV3RwoAAADAzUjcAXey2aSYGGnePGn9eqlXL8nX1xoX/pFHpBtvlF54Qdq9292RAgAAAHATEncgr6hVyxou7t9/pbfflsqUsTque+89qxr9XXdJP/3EePAAAABAIUPiDuQ1xYtLL75otYP/8UepTRurzfsvv0gdOkilS0uDBkk7drg7UgAAAAC5gMQdyKs8PaX27aW5c6Vt26SBA62k/vBha2z4SpWk5s2lr76yOrgDAAAAUCDZjClc3VfHx8crODhYcXFxCgoKcnc4QOYkJFjV5T//3GoXn5RkzQ8Ksnqk79ZNatpU8uA3OQAAACCvyG4eSuIO5Ff//itNmGD1Pp98DPioKOnBB60kvmZNt4UHAAAAwELinkkk7ihwkpKkJUusceFnzJDi468uq1nTSuAffNBK6AEAAADkOhL3TCJxR4F24YLVid3kydLs2VbVersmTaT775fuu48kHgAAAMhFJO6ZROKOQuP0aesO/OTJ1h355Bo1uprEly3rnvgAAACAQiK7eWie6MFq7Nixio6Olp+fnxo1aqSVK1emWnbmzJmqX7++QkJCVKRIEdWpU0eTJk3KxWiBfCI0VOrTR1q8WDpwQPrgA6vjOptNWrFCeuEFqVw5qV49afhwq+d6AAAAAHmO2++4T5s2TT169NAnn3yiRo0aafTo0Zo+fbq2bdumEiVKpCi/ePFinT59WlWqVJGPj49+/vlnPffcc/rll1/Upk2bdPfHHXcUekeOSLNmWXfjFy++2jO9JFWsaA1B1769dOutkpeX28IEAAAACop8X1W+UaNGatCggT766CNJUlJSkqKiovTUU0/p5ZdfztA2brrpJrVr107//e9/0y1L4g4kc/y49P33VhK/aJF0+fLVZSEhUtu2VhJ/xx3WHXwAAAAAmZavq8onJCRo9erViomJcczz8PBQTEyMli9fnu76xhgtWLBA27ZtU7NmzVyWuXTpkuLj450mAP8vLMyqTj9vnnTihDR9utSjh3TDDVJsrPTNN1aP9GFhUsuW0rvvShs2SIWrawwAAADArdyauJ84cUKJiYkKDw93mh8eHq4jR46kul5cXJwCAwPl4+Ojdu3aacyYMWrdurXLssOHD1dwcLBjiqI3bcC1oCCrw7qJE6WjR6Vly6SXXpKqVZMSE61q9S++KNWuLZUsKfXsKU2ZIh075u7IAQAAgAItT3ROl1lFixbVunXrtGrVKr311lsaOHCgFi9e7LLsoEGDFBcX55gOHDiQu8EC+ZGnpzV83IgR0ubN0q5dVud2d94pBQRY7eS/+soaIz483Org7pVXrOQ++RB0AAAAALLNrW3cExISFBAQoBkzZqhjx46O+T179lRsbKx++OGHDG3n0Ucf1YEDBzRv3rx0y9LGHcimS5ekP/6Qfv3VqmK/bp3z8oAAq2O7li2lFi2spN7b2x2RAgAAAHlCvm7j7uPjo3r16mnBggWOeUlJSVqwYIEaN26c4e0kJSXp0qVL1yNEANfy9ZVuu826G792rXT4sDRpktS9u1SihHT+vJXUDxokNW4sFStmdXL3zjvSqlXSlSvuPgIAAAAgX3H7WE8DBw5Uz549Vb9+fTVs2FCjR4/WuXPn1Lt3b0lSjx49VKpUKQ0fPlyS1Wa9fv36Kl++vC5duqTZs2dr0qRJGjdunDsPAyi8IiKspL17d2touc2brSrzixZJS5ZIp05Jc+dak2S1pW/aVGre3Lozf9NN1o8BAAAAAFxye+LeuXNnHT9+XIMHD9aRI0dUp04dzZ0719Fh3f79++XhcbViwLlz5/Tkk0/q33//lb+/v6pUqaKvv/5anTt3dtchALDz8JBq1rSmp56yEvmNG60kftEi6fffrd7qf/nFmiQraW/QwGpT36SJdMstVq/2AAAAACTlgXHccxtt3AE3SkyU1q+/msT/+ac1DN21qla9msg3aSJVqCDZbLkfLwAAAJADspuHkrgDcB9jpO3brc7u7NO2bSnLFS9u3ZVv2NCaGjSwxpYHAAAA8gES90wicQfyuBMnrDvx9kR+1SrXQ8yVLXs1kW/YUKpbVypSJPfjBQAAANJB4p5JJO5APnPpklW9fuXKq5Oru/KenlL16lYSf9NNViJfq5Y1PB0AAADgRiTumUTiDhQAsbHS6tVXE/kVK6xh6a7l4SFVrmwl8XXrWgl9nTrWEHUAAABALiFxzyQSd6CAOnjQSuJXrbLGl1+7Vjp61HXZMmWuJvN160q1a0tRUXSABwAAgOuCxD2TSNyBQuTwYSuBX7PmajK/Z4/rssHBUo0a1mQf0q5mTSk0NHdjBgAAQIFD4p5JJO5AIRcbK61bdzWRX7PGajN/5Yrr8iVLOifyNWpI1apJfn65GTUAAADyMRL3TCJxB5BCQoKVvG/caE2bNlmP+/a5Lu/hIZUvb403X6WK9Wh/Hhycu7EDAAAgzyNxzyQSdwAZFh8vbd58NaG3T6dOpb5OZOTVZD55Ul+yJG3oAQAACikS90wicQeQLcZIR45I//wjbd0qbdly9fHQodTXK1rUSuQrV5YqVrw6VagghYTkWvgAAADIfSTumUTiDuC6iY9Pmcxv3Srt3CklJqa+XvHizol88sSe6xQAAEC+R+KeSSTuAHJdQoK0a5eVyG/bZiXyO3ZY05Ejaa8bFuac1JcrJ5Utaz2WKEH1ewAAgHyAxD2TSNwB5ClnzliJfPJk3j4dO5b2ugEBUnT01US+bFnn50WL5sohAAAAIG0k7plE4g4g34iPd07od+60xqHfvVs6eNBqb5+WG25ImdRHR0ulS1tTkSK5chgAAACFHYl7JpG4AygQLl2S9u+/msjv2XN12r077Z7v7W644WoS72qKiLCGvgMAAEC2ZDcP9boOMQEArjdf36tt312Jj0+Z1O/ebSX7+/ZZVfRPnrSmtWtdb8PbW7rxRtdJ/Y03SqVKWT3i084eAADguuKOOwAURnFxVhKf2nTwYNo94dv5+1sJfFpTRITk43P9jwkAACCPoqp8JpG4A0AGXLkiHT7sOqnft89K7DNSHV+y7siHhaWf3BcrRtV8AABQIJG4ZxKJOwDkkAsXpEOHrCQ+tenQIeny5Yxtz9tbCg+3kviICCky8urza//297++xwYAAJCDaOMOAHAPf3+pfHlrSk1SknTiRPrJ/alTVoL/77/WlJ6goLQT+4gIa5z74sWtHwQAAADyMRJ3AMD14+FhJdAlSkh166ZeLiFBOnpUOnLk6nT4sOu/L160Ot+Lj5e2bUs/htBQa/9hYVdjSe15sWKSp2fOHT8AAEAOIHEHALifj48UFWVNaTHGStjTSuzt04kT1h3/06etKSNJvs1m3aVPK7kvXtwaSq94cSvR544+AAC4zkjcAQD5h80mBQdbU+XKaZdNSrKq4B8/Lh07Zk2pPT92zCprjDX/+PGMxxQcbCXy9mQ+ref2Rz+/7L0OAACgUCFxBwAUTB4eVqJcvLhUtWr65S9ftsa1Ty/BP3HCKnf6tJXox8VZ0+7dGY8tICDtJL9YMauKf2io83Pu7gMAUCiRuAMAIFlJsb1ju4xITLSS95MnrybzGXmemCidP391eL3MKFIkZTKfkb9DQiQvPvIBAMiv+BQHACArPD2v3tFPr9q+nf0OfVqJ/YkTV9vlnzplPcbFWeufO2dNGel5/1pBQa4T+5AQq7q//dE+Jf87KIhO+wAAcCMSdwAAcovNZiXEISFpD6N3rcREK3m3J/LJp2vnXfv3mTPWNuw98e/bl7XYixZ1ndRn9O/AQOv4AQBAppG4AwCQ13l6WnfJixXL/LqXL0uxsakn97Gx1o8C9kf7ZP/74kVrO2fOWFNW7vZLVp8DQUHOd/GDgqwfBJI/upqX/LFoUWsUAgAAChESdwAACjJvb2s4u7CwrK1/6ZJzQp9Wkp/asitXrF7+Y2OtKbt8fdNP8DPyA0BgoPUjADUBAAB5HIk7AABIna/v1THss8IY6cKFlEn9mTNW1f3MPF64YG3z0qXMD9uXGi8vK4FPPhUpknJeZpYVKUKfAACAHEXiDgAArh+bzRr+LiBAiozM3rauXMlawn/tvPj4q00ArlzJuZoAyfn7Zy7hL1LEeo1Se7Q/9/e3mh0AAAoVEncAAJA/eHld7Q0/u65csXroP3v26mNaU3plzp2zfhhISrK2f+GCNeVErYBr+fs7J/OuEvzszKP5AADkOSTuAACg8PHyutpRXk4xxqrGn5XE//x5q0zyx+TP7c0EpKs/Cpw8mXOxJ+fh4ZzMBwRYPxakN2W03LWTF19HASA9XCkBAABygs0m+flZU/HiObvtpCQrWU8vwc/OvMuXr+7L3sQgN3h55dyPAP7+V/8HqU2+vtZErQIA+QiJOwAAQF5nvwtepEjWRwhIz+XLad/xz8507TYuXbq6X3vfBbn1Q4Gdr6/rpD6thD8nl1HTAEAmcMUAAACANXRgTjcfSE1SktVBYE79EHDtjwIXLzpPly45NzeQrHn24Q7dwdMzZVJvrw2QfPLxSX9een9ntAyjIQB5Fok7AAAAcpeHx9X287nFGKtWgauk/tp512uZvTmCJCUmXq3ZkFd4eFy/Hw2ST97eWZvn5UUTBxRaJO4AAAAo+Gy2qwlgUJB7YkhKSjvhtyf9CQlXawS4+jsjZTKyTvImC/b47DUX8qqsJv3ZnZfRst7ezhO1GJBDSNwBAACA3ODhcbUTvbzAGKuPgez8QJDRHxEuX7Yek08ZmXety5et6dy53H+9ssJmS5nMJ5+8vNJenlPr5NR6/BDhNiTuAAAAQGGUPKkMDHR3NCnZf1jITuKfm/OurcFgP4bUfoTIj9L7IcJVwp/WY0bnZaR8u3bWYwFF4g4AAAAg70meJOYHxlh9F9hrBWR1unIlb2wjMdH1MebVHyLOnMk/50oWkLgDAAAAQHbZbFfvAOeV5hDZYa/xkN0fEOxT8r+T/7iQU8sLcNIukbgDAAAAAK6V32o8FHAe7g4AAAAAAACkjsQdAAAAAIA8jMQdAAAAAIA8jMQdAAAAAIA8jMQdAAAAAIA8jMQdAAAAAIA8LE8k7mPHjlV0dLT8/PzUqFEjrVy5MtWy48ePV9OmTRUaGqrQ0FDFxMSkWR4AAAAAgPzM7Yn7tGnTNHDgQA0ZMkRr1qxR7dq11aZNGx07dsxl+cWLF6tr165atGiRli9frqioKN1+++06ePBgLkcOAAAAAMD1ZzPGGHcG0KhRIzVo0EAfffSRJCkpKUlRUVF66qmn9PLLL6e7fmJiokJDQ/XRRx+pR48e6ZaPj49XcHCw4uLiFBQUlO34AQAAAABIS3bzULfecU9ISNDq1asVExPjmOfh4aGYmBgtX748Q9s4f/68Ll++rGLFirlcfunSJcXHxztNAAAAAADkF25N3E+cOKHExESFh4c7zQ8PD9eRI0cytI2XXnpJJUuWdEr+kxs+fLiCg4MdU1RUVLbjBgAAAAAgt3i5O4DsGDFihKZOnarFixfLz8/PZZlBgwZp4MCBjr/j4uJUunRp7rwDAAAAAHKFPf/Makt1tybuxYsXl6enp44ePeo0/+jRo4qIiEhz3ffee08jRozQb7/9plq1aqVaztfXV76+vo6/7S8Yd94BAAAAALnpzJkzCg4OzvR6bk3cfXx8VK9ePS1YsEAdO3aUZHVOt2DBAvXv3z/V9d555x299dZbmjdvnurXr5+pfZYsWVIHDhxQ0aJFZbPZshP+dRcfH6+oqCgdOHCAjvSQYZw3yArOG2QF5w2yinMHWcF5g6zIK+eNMUZnzpxRyZIls7S+26vKDxw4UD179lT9+vXVsGFDjR49WufOnVPv3r0lST169FCpUqU0fPhwSdLbb7+twYMHa8qUKYqOjna0hQ8MDFRgYGC6+/Pw8NCNN954/Q7oOggKCuLihEzjvEFWcN4gKzhvkFWcO8gKzhtkRV44b7Jyp93O7Yl7586ddfz4cQ0ePFhHjhxRnTp1NHfuXEeHdfv375eHx9U+9MaNG6eEhATdf//9TtsZMmSIXn/99dwMHQAAAACA687tibsk9e/fP9Wq8YsXL3b6e+/evdc/IAAAAAAA8gi3DgeHtPn6+mrIkCFOnesB6eG8QVZw3iArOG+QVZw7yArOG2RFQTlvbCar/dEDAAAAAIDrjjvuAAAAAADkYSTuAAAAAADkYSTuAAAAAADkYSTuAAAAAADkYSTuedTYsWMVHR0tPz8/NWrUSCtXrnR3SLhOfv/9d7Vv314lS5aUzWbT999/77TcGKPBgwcrMjJS/v7+iomJ0Y4dO5zKnDp1St26dVNQUJBCQkL0yCOP6OzZs05lNmzYoKZNm8rPz09RUVF65513UsQyffp0ValSRX5+fqpZs6Zmz56d48eLnDF8+HA1aNBARYsWVYkSJdSxY0dt27bNqczFixfVr18/3XDDDQoMDNR9992no0ePOpXZv3+/2rVrp4CAAJUoUUIvvPCCrly54lRm8eLFuummm+Tr66sKFSpowoQJKeLhmpV/jBs3TrVq1VJQUJCCgoLUuHFjzZkzx7Gc8wbpGTFihGw2m5555hnHPM4buPL666/LZrM5TVWqVHEs57xBag4ePKju3bvrhhtukL+/v2rWrKm///7bsbxQfj82yHOmTp1qfHx8zBdffGE2b95s+vTpY0JCQszRo0fdHRqug9mzZ5tXX33VzJw500gys2bNclo+YsQIExwcbL7//nuzfv1606FDB1O2bFlz4cIFR5k77rjD1K5d2/z1119m6dKlpkKFCqZr166O5XFxcSY8PNx069bNbNq0yXzzzTfG39/ffPrpp44yf/zxh/H09DTvvPOO+eeff8xrr71mvL29zcaNG6/7a4DMa9Omjfnyyy/Npk2bzLp168ydd95pSpcubc6ePeso07dvXxMVFWUWLFhg/v77b3PzzTebW265xbH8ypUrpkaNGiYmJsasXbvWzJ492xQvXtwMGjTIUWb37t0mICDADBw40Pzzzz9mzJgxxtPT08ydO9dRhmtW/vLjjz+aX375xWzfvt1s27bNvPLKK8bb29ts2rTJGMN5g7StXLnSREdHm1q1apkBAwY45nPewJUhQ4aY6tWrm8OHDzum48ePO5Zz3sCVU6dOmTJlyphevXqZFStWmN27d5t58+aZnTt3OsoUxu/HJO55UMOGDU2/fv0cfycmJpqSJUua4cOHuzEq5IZrE/ekpCQTERFh3n33Xce82NhY4+vra7755htjjDH//POPkWRWrVrlKDNnzhxjs9nMwYMHjTHGfPzxxyY0NNRcunTJUeall14ylStXdvz9wAMPmHbt2jnF06hRI/P444/n6DHi+jh27JiRZJYsWWKMsc4Tb29vM336dEeZLVu2GElm+fLlxhjrRyMPDw9z5MgRR5lx48aZoKAgx7ny4osvmurVqzvtq3PnzqZNmzaOv7lm5X+hoaHmf//7H+cN0nTmzBlTsWJFM3/+fNO8eXNH4s55g9QMGTLE1K5d2+Uyzhuk5qWXXjK33nprqssL6/djqsrnMQkJCVq9erViYmIc8zw8PBQTE6Ply5e7MTK4w549e3TkyBGn8yE4OFiNGjVynA/Lly9XSEiI6tev7ygTExMjDw8PrVixwlGmWbNm8vHxcZRp06aNtm3bptOnTzvKJN+PvQznXf4QFxcnSSpWrJgkafXq1bp8+bLT/7RKlSoqXbq007lTs2ZNhYeHO8q0adNG8fHx2rx5s6NMWucF16z8LTExUVOnTtW5c+fUuHFjzhukqV+/fmrXrl2K/y3nDdKyY8cOlSxZUuXKlVO3bt20f/9+SZw3SN2PP/6o+vXrq1OnTipRooTq1q2r8ePHO5YX1u/HJO55zIkTJ5SYmOh0gZKk8PBwHTlyxE1RwV3s//O0zocjR46oRIkSTsu9vLxUrFgxpzKutpF8H6mV4bzL+5KSkvTMM8+oSZMmqlGjhiTr/+nj46OQkBCnsteeO1k9L+Lj43XhwgWuWfnUxo0bFRgYKF9fX/Xt21ezZs1StWrVOG+QqqlTp2rNmjUaPnx4imWcN0hNo0aNNGHCBM2dO1fjxo3Tnj171LRpU505c4bzBqnavXu3xo0bp4oVK2revHl64okn9PTTT2vixImSCu/3Y69c3yMAIEf169dPmzZt0rJly9wdCvKJypUra926dYqLi9OMGTPUs2dPLVmyxN1hIY86cOCABgwYoPnz58vPz8/d4SAfadu2reN5rVq11KhRI5UpU0bffvut/P393RgZ8rKkpCTVr19fw4YNkyTVrVtXmzZt0ieffKKePXu6OTr34Y57HlO8eHF5enqm6FHz6NGjioiIcFNUcBf7/zyt8yEiIkLHjh1zWn7lyhWdOnXKqYyrbSTfR2plOO/ytv79++vnn3/WokWLdOONNzrmR0REKCEhQbGxsU7lrz13snpeBAUFyd/fn2tWPuXj46MKFSqoXr16Gj58uGrXrq0PPviA8wYurV69WseOHdNNN90kLy8veXl5acmSJfrwww/l5eWl8PBwzhtkSEhIiCpVqqSdO3dyvUGqIiMjVa1aNad5VatWdTSzKKzfj0nc8xgfHx/Vq1dPCxYscMxLSkrSggUL1LhxYzdGBncoW7asIiIinM6H+Ph4rVixwnE+NG7cWLGxsVq9erWjzMKFC5WUlKRGjRo5yvz++++6fPmyo8z8+fNVuXJlhYaGOsok34+9DOdd3mSMUf/+/TVr1iwtXLhQZcuWdVper149eXt7O/1Pt23bpv379zudOxs3bnT6YJs/f76CgoIcH5jpnRdcswqGpKQkXbp0ifMGLrVq1UobN27UunXrHFP9+vXVrVs3x3POG2TE2bNntWvXLkVGRnK9QaqaNGmSYojb7du3q0yZMpIK8ffjXO8OD+maOnWq8fX1NRMmTDD//POPeeyxx0xISIhTj5ooOM6cOWPWrl1r1q5daySZUaNGmbVr15p9+/YZY6zhLkJCQswPP/xgNmzYYO6++26Xw13UrVvXrFixwixbtsxUrFjRabiL2NhYEx4ebh566CGzadMmM3XqVBMQEJBiuAsvLy/z3nvvmS1btpghQ4YwHFwe9sQTT5jg4GCzePFip2F2zp8/7yjTt29fU7p0abNw4ULz999/m8aNG5vGjRs7ltuH2bn99tvNunXrzNy5c01YWJjLYXZeeOEFs2XLFjN27FiXw+xwzco/Xn75ZbNkyRKzZ88es2HDBvPyyy8bm81mfv31V2MM5w0yJnmv8sZw3sC15557zixevNjs2bPH/PHHHyYmJsYUL17cHDt2zBjDeQPXVq5caby8vMxbb71lduzYYSZPnmwCAgLM119/7ShTGL8fk7jnUWPGjDGlS5c2Pj4+pmHDhuavv/5yd0i4ThYtWmQkpZh69uxpjLGGvPjPf/5jwsPDja+vr2nVqpXZtm2b0zZOnjxpunbtagIDA01QUJDp3bu3OXPmjFOZ9evXm1tvvdX4+vqaUqVKmREjRqSI5dtvvzWVKlUyPj4+pnr16uaXX365bseN7HF1zkgyX375paPMhQsXzJNPPmlCQ0NNQECAueeee8zhw4edtrN3717Ttm1b4+/vb4oXL26ee+45c/nyZacyixYtMnXq1DE+Pj6mXLlyTvuw45qVfzz88MOmTJkyxsfHx4SFhZlWrVo5knZjOG+QMdcm7pw3cKVz584mMjLS+Pj4mFKlSpnOnTs7jcXNeYPU/PTTT6ZGjRrG19fXVKlSxXz22WdOywvj92ObMcbk/n1+AAAAAACQEbRxBwAAAAAgDyNxBwAAAAAgDyNxBwAAAAAgDyNxBwAAAAAgDyNxBwAAAAAgDyNxBwAAAAAgDyNxBwAAAAAgDyNxBwAAAAAgDyNxBwAA2RYdHa3Ro0e7OwwAAAokEncAAPKZXr16qWPHjpKkFi1a6Jlnnsm1fU+YMEEhISEp5q9atUqPPfZYrsUBAEBh4uXuAAAAgPslJCTIx8cny+uHhYXlYDQAACA57rgDAJBP9erVS0uWLNEHH3wgm80mm82mvXv3SpI2bdqktm3bKjAwUOHh4XrooYd04sQJx7otWrRQ//799cwzz6h48eJq06aNJGnUqFGqWbOmihQpoqioKD355JM6e/asJGnx4sXq3bu34uLiHPt7/fXXJaWsKr9//37dfffdCgwMVFBQkB544AEdPXrUsfz1119XnTp1NGnSJEVHRys4OFhdunTRmTNnHGVmzJihmjVryt/fXzfccINiYmJ07ty56/RqAgCQd5G4AwCQT33wwQdq3Lix+vTpo8OHD+vw4cOKiopSbGysbrvtNtWtW1d///235s6dq6NHj+qBBx5wWn/ixIny8fHRH3/8oU8++USS5OHhoQ8//FCbN2/WxIkTtXDhQr344ouSpFtuuUWjR49WUFCQY3/PP/98iriSkpJ0991369SpU1qyZInmz5+v3bt3q3Pnzk7ldu3ape+//14///yzfv75Zy1ZskQjRoyQJB0+fFhdu3bVww8/rC1btmjx4sW69957ZYy5Hi8lAAB5GlXlAQDIp4KDg+Xj46OAgABFREQ45n/00UeqW7euhg0b5pj3xRdfKCoqStu3b1elSpUkSRUrVtQ777zjtM3k7eWjo6P15ptvqm/fvvr444/l4+Oj4OBg2Ww2p/1da8GCBdq4caP27NmjqKgoSdJXX32l6tWra9WqVWrQoIEkK8GfMGGCihYtKkl66KGHtGDBAr311ls6fPiwrly5onvvvVdlypSRJNWsWTMbrxYAAPkXd9wBAChg1q9fr0WLFikwMNAxValSRZJ1l9uuXr16Kdb97bff1KpVK5UqVUpFixbVQw89pJMnT+r8+fMZ3v+WLVsUFRXlSNolqVq1agoJCdGWLVsc86Kjox1JuyRFRkbq2LFjkqTatWurVatWqlmzpjp16qTx48fr9OnTGX8RAAAoQEjcAQAoYM6ePav27dtr3bp1TtOOHTvUrFkzR7kiRYo4rbd3717dddddqlWrlr777jutXr1aY8eOlWR1XpfTvL29nf622WxKSkqSJHl6emr+/PmaM2eOqlWrpjFjxqhy5cras2dPjscBAEBeR+IOAEA+5uPjo8TERKd5N910kzZv3qzo6GhVqFDBabo2WU9u9erVSkpK0siRI3XzzTerUqVKOnToULr7u1bVqlV14MABHThwwDHvn3/+UWxsrKpVq5bhY7PZbGrSpIneeOMNrV27Vj4+Ppo1a1aG1wcAoKAgcQcAIB+Ljo7WihUrtHfvXp04cUJJSUnq16+fTp06pa5du2rVqlXatWuX5s2bp969e6eZdFeoUEGXL1/WmDFjtHv3bk2aNMnRaV3y/Z09e1YLFizQiRMnXFahj4mJUc2aNdWtWzetWbNGK1euVI8ePdS8eXPVr18/Q8e1YsUKDRs2TH///bf279+vmTNn6vjx46patWrmXiAAAAoAEncAAPKx559/Xp6enqpWrZrCwsK0f/9+lSxZUn/88YcSExN1++23q2bNmnrmmWcUEhIiD4/UP/pr166tUaNG6e2331aNGjU0efJkDR8+3KnMLbfcor59+6pz584KCwtL0bmdZN0p/+GHHxQaGqpmzZopJiZG5cqV07Rp0zJ8XEFBQfr999915513qlKlSnrttdc0cuRItW3bNuMvDgAABYTNMK4KAAAAAAB5FnfcAQAAAADIw0jcAQAAAADIw0jcAQAAAADIw0jcAQAAAADIw0jcAQAAAADIw0jcAQAAAADIw0jcAQAAAADIw0jcAQAAAADIw0jcAQAAAADIw0jcAQAAAADIw0jcAQAAAADIw/4PfYTE5Dqwu+0AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "run_expe(scaled_data, theta, batch_size, STOP_GRAD, threshold=0.02, alpha=0.001)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ce52fa7-7bfd-4582-8beb-6a8da3ce0ca5",
   "metadata": {},
   "source": [
    "按照梯度小于某个阈值再退出，可以迭代更多次，更多的迭代次数会使得损失下降的更多！"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "1a9125b2-1836-405e-915f-53e66229a5a5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***Scaled data - learning rate: 0.001 -Stochastic descent - Stop: gradient norm < 0.004\n",
      "Theta: [[0.80517975 2.07091858 1.87830304]] - Iter: 29504 - Last cost: 0.24 - Duration: 1.60s\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "theta = run_expe(scaled_data, theta, 1, STOP_GRAD, threshold=0.02 / 5, alpha=0.001)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "845b97fa-5751-4bef-bfb5-a26f14b1f298",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.80517975, 2.07091858, 1.87830304]])"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "theta"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6a7d4b98-1a38-49f9-a6c0-59b8b01cfac2",
   "metadata": {},
   "source": [
    "随机梯度下降更快，但是需要迭代的次数也需要更多"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "08c90e10-995e-4e08-b9c3-c5e339f53ab0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0., 0., 0.]])"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "theta = np.zeros(shape=(1, 3))\n",
    "theta"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "6c09d3d1-d308-4c04-b41e-bb03e3eb6b2e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***Scaled data - learning rate: 0.001 -Mini-batch (16) descent - Stop: gradient norm < 0.004\n",
      "Theta: [[1.07770931 2.63894569 2.4159736 ]] - Iter: 59898 - Last cost: 0.22 - Duration: 4.45s\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABAwAAAGJCAYAAAAOpqG6AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy80BEi2AAAACXBIWXMAAA9hAAAPYQGoP6dpAAB7oklEQVR4nO3dd3gU1fv38c8mpBKSUBNAIHQILUgJqAhIAKUoIlJEQawoKoj9q4KCCDbECvxQBCmCICgqRQxFRQQEQZAmvUhCTwiBBJLz/LHPLll2UwnZbHi/rmuunZ05M3Pv7tmZnXvPnLEYY4wAAAAAAAAy8HJ3AAAAAAAAoPAhYQAAAAAAAJyQMAAAAAAAAE5IGAAAAAAAACckDAAAAAAAgBMSBgAAAAAAwAkJAwAAAAAA4ISEAQAAAAAAcELCAAAAAAAAOCFhAABAHhw8eFD+/v5atWrVVd3Oiy++qOjo6Ku6DQAAULjs27dPFotFU6ZMcWscbkkYbN68WT169FCVKlXk7++vihUrqn379vroo4+cyqalpemLL75QmzZtVKpUKfn5+SkiIkIDBgzQn3/+6XL9n376qSwWS5Y/sCwWi5544oks42zTpo0sFovLoU6dOvZyU6ZMcZjn7++vChUqqGPHjvrwww915syZHL0vK1ascFiPn5+fwsLC1KZNG7355ps6duxYlsv37NlTFotFL7zwgn2araLlZNi3b599ueeff14Wi0W9evXKUex50aZNG9WvXz/LMq+99lqWMcfFxTkts23bNvvncPr06Uy3nXE9AQEBatiwocaNG6f09HSHshnfw2+++SbTGI8fP26fdv/99ysoKMjlNrt27eq0Dts23n33Xad5R48e1YsvvqgGDRooKChI/v7+qlGjhgYMGKDffvvN5evLLH6LxSIvLy+VKlVKt912m1avXp3pcpm9j/fff3+O6tP999/v8Lqz+x7lVkpKil544QVVqFBBAQEBio6O1tKlS3O8/OHDh9WzZ0+FhoYqODhYd9xxh/bs2eOy7Oeff666devK399fNWvWdLmv2rFjh55++mndcMMN8vf3d/pO5VVERIQsFotiYmJczp80aZL9/cy4T8ysXlosFjVs2FDGGKd1Xb5fzKpeulo241C8eHFFRkbqjTfeUHJycqbL5dd+Kz4+Xs8++6zq1KmjwMBAFS9eXE2aNNEbb7zhUH+z2u/k5vVK0ogRIxQdHa0bb7zRPi239eDMmTN6/vnnVbVqVfn5+alixYrq0aOHw3s2ZMgQbdq0SQsWLMhRXBm/c15eXgoODlbt2rV13333ZfodsdUzV8Ott97qUPa3337TbbfdpooVK8rf31+VK1dW165dNXPmTKf1nj9/Xu+//76io6MVEhIif39/1apVS0888YR27txpL5fTfX1u9seXH1OzGvJLUlKShg8frvr166t48eIqXbq0oqKiNHjwYP333395PiYfOHBAAwcOVEREhPz8/FSuXDl169bNZbLq8tft4+OjatWqqV+/fpnu43IqMTFRo0aNUtOmTRUSEiI/Pz9VqVJFvXr10o8//phlHN7e3ipXrpx69Oihbdu2ZbqNhQsXymKxqEKFCk7HY5uM9dXLy0uhoaFq0KCBHnnkEa1Zs8blMpnt3zIbxowZYy+bm+N3Vt+ljENWJwB5/b1wJfUku8/HdvwIDg7WuXPnnOb/+++/9nXldB+an7Zt26Zbb71VQUFBKlWqlO67775sfzdntGDBAl1//fX2fdrw4cN18eJFp3KnT5/WI488orJly6p48eJq27atNmzYkOW6d+/ebT8eZHbukle5qcfXOludnzt3rn3a77//rtdeey3T84WCMnPmTI0bN86tMWSlWEFv8Pfff1fbtm1VuXJlPfzwwwoPD9fBgwf1xx9/6IMPPtCTTz5pL3vu3Dl1795dixcv1s0336z//e9/KlWqlPbt26evv/5aU6dO1YEDB3Tdddc5bGPGjBmKiIjQ2rVrtWvXLtWoUSPP8V533XUaPXq00/SQkBCnaSNGjFDVqlV14cIFxcXFacWKFRoyZIjGjh2rBQsWqGHDhjna5lNPPaVmzZopLS1Nx44d0++//67hw4dr7Nix+vrrr3XLLbc4LZOYmKjvv/9eERER+uqrrzRmzBhZLBaVLVtW06ZNcyj73nvv6dChQ3r//fcdppctW1aSZIzRV199pYiICH3//fc6c+aMSpQokaPYr5bx48c7nYBLUmhoqNO06dOnKzw8XKdOndLcuXP10EMPuVxnxs/2+PHjmjlzpp5++mkdO3ZMo0aNcrnMiBEj1L179yv6gfnDDz9o/fr1atKkSbZl165dq86dO+vMmTPq3bu3Bg4cKD8/P+3du1fffvutpkyZopUrV+rmm2/Odl19+vRRp06dlJaWpp07d+rTTz9V27ZttW7dOjVo0MCpfGbv46OPPupw8rp3714NGzZMjzzyiFq1amWfXr16dft4br5HOXX//fdr7ty5GjJkiGrWrKkpU6aoU6dOWr58uW666aYsl01KSlLbtm2VkJCg//3vf/Lx8dH777+v1q1ba+PGjSpdurS97MSJEzVw4EDdddddGjp0qH799Vc99dRTSk5OdjjJXb16tT788ENFRkaqbt262rhxY55f2+X8/f21fPlyxcXFKTw83GHejBkz5O/vr/Pnz+d4fZs3b9a8efN011135VuMktS+fXv169dPkvU9/vXXX/Xqq69q06ZNmjNnjlP5/NpvrVu3Tp06dVJSUpLuvfde+3frzz//1JgxY/TLL7/op59+ytfXeuzYMU2dOlVTp051mJ6bepCQkKDWrVvr0KFDeuSRR1SjRg0dO3ZMv/76q1JSUhQYGChJCg8P1x133KF3331Xt99+e47iy/idO3v2rHbt2qV58+Zp+vTp6tmzp6ZPny4fHx+HZaKiovTMM884ratChQr28Tlz5qhXr172k+CSJUtq7969+uWXXzRp0iTdc8899rLHjx/XrbfeqvXr16tLly665557FBQUpB07dmjWrFn6v//7P6WmpjpsKzf7+uz2x3Xr1nWqRy+99JKCgoL08ssvu1zmSly4cEE333yztm/frv79++vJJ59UUlKS/vnnH82cOVN33nmnmjVrlutj8qpVq9SpUydJ0kMPPaTIyEjFxcVpypQpatWqldNvJxvbb4kLFy5ow4YN+r//+z/9+OOP2rx5s8NnmlO7du1Sx44dtX//ft15553q16+fgoKCdPDgQS1cuFBdunTRl19+qfvuuy/TOP7++29NmDBBK1as0JYtW5z2Z9Kl33D79u3TsmXLMk2WZqyvZ86c0bZt2zRnzhxNmjRJTz/9tMaOHZuj12U7Nl6ucePGTtNycvweN26ckpKS7M8XLlyor776Su+//77KlCljn37DDTdkG1tufi/kRz3J7vMpVqyYkpOT9f3336tnz54O8/JyLMovhw4d0s0336yQkBC9+eabSkpK0rvvvqvNmzdr7dq18vX1zXL5RYsWqVu3bmrTpo0++ugjbd68WW+88YaOHj2q8ePH28ulp6erc+fO2rRpk5577jmVKVNGn376qdq0aaP169erZs2aLtf/9NNPq1ixYkpJScnX151RbuoxLvn999/1+uuv6/7773d5nCkoM2fO1JYtWzRkyBCH6VWqVNG5c+ecjtcFzhSwTp06mbJly5pTp045zYuPj3d4PmjQICPJvP/++05lL168aN555x1z8OBBh+l79uwxksy8efNM2bJlzWuvveYyDklm0KBBWcbaunVrU69evaxfkDHmiy++MJLMunXrnObFxsaagIAAU6VKFZOcnJzlepYvX24kmTlz5jjN27hxoylXrpwJDQ01//33n9P8yZMnGx8fH7Ns2TIjyaxYsSLT7XTu3NlUqVIl0/m2dSxbtsz4+PiYKVOmZBl3XuXk/R0+fLiRZI4dO5ajdaanp5uIiAgzdOhQc+edd5o2bdrkeNvnzp0zVapUMSVKlDAXL160T9+7d6+RZKKioowk880332QbY//+/U3x4sWdtlm5cmVTsmRJ07VrV4d5tm2888479mknT5405cuXN+Hh4Wbbtm0uX+vMmTPN2rVrs3xPXK3bGGMWLVpkJJnHHnvM5bpz8j4aY8y6deuMJPPFF1+4nJ/T71FurFmzxuk1nTt3zlSvXt20bNky2+XfeustI8nhvdu2bZvx9vY2L730kn1acnKyKV26tOncubPD8n379jXFixc3J0+etE87ceKESUxMNMYY88477xhJZu/evXl9iXZVqlQx7dq1M8HBwWbcuHEO8w4ePGi8vLzMXXfd5bQPyqxeBgQEmFq1apmGDRua9PR0h/Vdvl/MrO64ktk+tUePHsbLy8ucO3fOaV5+7LdOnTplKlasaMLCwlx+T+Li4szIkSPtz7Oqj7l5vWPHjjUBAQHmzJkzDtNzUw8ee+wxExoaavbs2ZPt9ubOnWssFovZvXt3tmUze40XL140jz/+uJFknn/+eYd5VapUcarnrkRGRpp69eqZlJQUp3mXH8M7d+5svLy8zNy5c53Knj9/3jzzzDP25znd1+dlf5xRvXr1TOvWrbPcRl59/fXXRpKZMWOG07xz586ZhIQEl8tldUw+efKkCQ8PN2FhYWbXrl0O85KTk02rVq2Ml5eXWbVqlX16Zr8lPvzwQyPJvPnmm7l8ZcZcuHDB1K9f3xQvXtz89ttvLsssWbLELFy4MNs4xo8fbySZt956y2kdSUlJpnjx4ubDDz80jRs3Nvfff7/LbWVWX5OTk023bt2MJPPpp586zLuS/Vtuj98Z5eV4kJffC/lVTzL7fGy/azp06GC6devmFHPNmjXtx6KcvKc5ce7cObNjx45syz322GMmICDA7N+/3z5t6dKlRpKZOHFitstHRkaaRo0amQsXLtinvfzyy8ZisTgcV2bPnu30nh09etSEhoaaPn36uFz34sWLja+vr3nllVcyPVe4Ermpx5dLT0/P9Nzk3LlzJi0t7YpiS0pKuqLl85urOp+fv9cyOnv2bK7KZ3du5m4FfknC7t27Va9ePZdZnHLlytnHDx06pIkTJ6p9+/ZO2RZJ8vb21rPPPuuydUHJkiXVuXNn9ejRQzNmzMjvl5Art9xyi1599VXt379f06dPz/N6GjVqpHHjxun06dP6+OOPnebPmDFD7du3V9u2bVW3bt0ret0zZsxQZGSk2rZtq5iYGLe/h7mxatUq7du3T71791bv3r31yy+/6NChQzla1t/fX82aNdOZM2d09OhRp/m9e/dWrVq1NGLECJfNuXOiRIkSevrpp/X9999n24RtwoQJOnLkiMaNG+ey6b7FYlGfPn3UrFmzPMViaw2we/dup3lX8j5eie3bt+vAgQPZlps7d668vb31yCOP2Kf5+/vrwQcf1OrVq3Xw4MFsl2/WrJnDe1enTh21a9dOX3/9tX3a8uXLdeLECT3++OMOyw8aNEhnz551aIJbqlSpq9YSx9/fX927d3dq8v3VV1+pZMmS6tixY47X5eXlpVdeeUV///235s+fn9+hOgkPD5fFYlGxYs4N2vJjvzVx4kQdPnxYY8eOdfk9CQsL0yuvvJKn2LPy7bffKjo62unf8JzWg9OnT+uLL77QI488oqpVqyo1NTXLf59s/7J+9913eY7Z29vb3vrh448/VkJCQq7XsXv3bjVr1szlP3YZj+Fr1qzRjz/+qAcffNBlSxY/P78raracH/vj/Gbbl2a8RMXG399fwcHBuV7nxIkTFRcXp3feeceh1ZYkBQQEaOrUqbJYLBoxYkS267K1Tty7d6992oEDB7R9+/Zsl50zZ462bNmiV1991eXrk6QOHTrotttuy3ZdWR175s+fr3Pnzunuu+9W7969NW/evFz9Yx0QEKBp06apVKlSGjVqVL7Wjdwcvwt6e/lZT7L6fCTpnnvu0aJFixyacK9bt07//vuvQwujK7Fp0yY9+eSTqlChgj799NNsy3/zzTfq0qWLKleubJ8WExOjWrVqORzTXdm6dau2bt2qRx55xOE49fjjj8sY49B8fe7cuQoLC1P37t3t08qWLauePXvqu+++c9qHX7hwQYMHD9bgwYOdPhd3iIiIUJcuXbRkyRI1bdpUAQEBmjhxor2p/qxZs/TKK6+oYsWKCgwMVGJioiTr979JkyYKCAhQmTJldO+99+rw4cMO67Zdirt792516tRJJUqUUN++fV3GMXfuXFksFq1cudJp3sSJE2WxWLRlyxZJUlxcnAYMGKDrrrtOfn5+Kl++vO644458ueTztdde03PPPSdJqlq1qsvLwaZPn25/7aVKlVLv3r2dfmPaLnVcv369br75ZgUGBup///ufJOsxu3PnzqpQoYL8/PxUvXp1jRw5UmlpaQ7L//jjj9q/f789hoiICEmZ92GwbNkytWrVSsWLF1doaKjuuOMOp0uJbJfo7dq1y96CIiQkRAMGDMjyUlFXCjxhUKVKFa1fv95eETKzaNEiXbx40alpW3ZmzJih7t27y9fXV3369NG///6rdevW5TnetLQ0HT9+3Gk4e/Zsjtdhew1X2iS2R48eCggIcFrPf//9p+XLl6tPnz6SrM2S5s6d69TUMydSUlL0zTffOKxr2bJlLvsKKEgnT550+gxcXW80Y8YMVa9eXc2aNVPXrl0VGBior776KsfbsX0xXSW0vL299corr2jTpk1XdKJla8b72muvZVnu+++/V0BAgMOBKT/ZdoglS5Z0mnel7+Plcvo9qlu3rr1Je1b++usv1apVy+kHePPmzSUpy2bg6enp+vvvv9W0aVOnec2bN9fu3bvt/Y789ddfkuRUtkmTJvLy8rLPLwj33HOP1q5d6/AjbubMmerRo0eum6rdc889qlmzZr6fbJ0/f97+2e7fv18zZ87U1KlTdc899zglDPJrv7VgwQIFBASoR48eOV4ms/p46tSpHC1/4cIFrVu3Ttdff32uYs3ot99+0/nz51WjRg316NFDgYGBCggI0I033uiy/oaEhKh69epX3MGit7e3+vTpo+TkZKc+UC5cuODyfcl4vXKVKlUUGxubbQLR1t9Cbo/hOd3X59f+OD9VqVJFkvTll1/m2/fq+++/l7+/v1Pzb5uqVavqpptu0rJly1xeV56Rbd+R8ZKrfv36qW7dujmKQ5LuvffenIaeqeyOPW3btlV4eLh69+6tM2fO2LedU0FBQbrzzjt1+PBhbd26NdvyycnJLuu9q+vXc3r8zi+5+b2QX/Ukq89Hkv0yoHnz5tmnzZw5U3Xq1LmifWJCQoLGjx+vpk2bKioqSlOnTlX37t0zvazU5vDhwzp69Gimx/TsjtOZHecrVKig6667zmH5v/76S9dff728vBxPn5o3b67k5GSHflkk6+Upp06duipJ68vltB7v2LFDffr0Ufv27fXBBx8oKirKPm/kyJH68ccf9eyzz+rNN9+Ur6+vpkyZop49e8rb21ujR4/Www8/rHnz5ummm25y2jdfvHhRHTt2VLly5fTuu+9metlj586dFRQU5DKZM3v2bNWrV8/e19Bdd92l+fPna8CAAfr000/11FNP6cyZMzn6cyk73bt3t/8Gef/99zVt2jRNmzbNfjnYqFGj1K9fP9WsWVNjx47VkCFDFBsbq5tvvtnptZ84cUK33XaboqKiNG7cOLVt21aStZ+7oKAgDR06VB988IGaNGmiYcOG6cUXX7Qv+/LLLysqKkplypSxx5BVfwY///yzOnbsqKNHj+q1117T0KFD9fvvv+vGG290mUjp2bOnzpw5o9GjR6tnz56aMmWKXn/99Vy9VwWeMHj22WeVnJysqKgo3XDDDXrhhRf0008/6cKFCw7lbFkSV9dWZ2b9+vXavn27evfuLUm66aabdN11113RP+Tbt29X2bJlnQZX13lm5rrrrlNISEim2dqc8vHxUa1atZzW89VXX8nPz0933HGHJOs/L6dOndLChQtzvY0ffvhBp0+ftr+H3bp1k4+Pj2bNmnVFsV+p2rVrO30GLVq0cChz4cIFzZkzxx57QECAbr/99kw//4wnDTt27NDzzz+vP//8U506dVJAQIDLZfLjRCs4OFhDhgzJ9l+D7du3q3bt2k4ng2fOnMlT8sp2MImPj9dvv/2mAQMGSJLTiVZu38ecyI/vUUZHjhxR+fLlnabbpv3333+ZLnvy5EmlpKTkaPkjR47YO4LKyNfXV6VLl85yO/ntlltuUXh4uD1xs23bNm3cuDFP/+hkPNn69ttv8y3Gzz//3P7ZRkREqG/fvmrXrp0mTZrkVDa/9lvbtm1TrVq1sr1GNaPM6mNOf+weOHBA586dU9WqVXMVa0b//vuvJOs19QcPHtSXX36pTz75RLt379Ytt9yiI0eOOC1TrVq1HJ0AZcf2Q+zyY8lPP/3k8n354IMP7GVeeOEFHTx4UNWrV9ctt9yiYcOG6bfffnPqnC4vx3ApZ/t6m6uV+Mqrbt26qXbt2ho2bJiqVq2qAQMGaPLkyS5brOXU1q1bVbt2bfn5+WVaplGjRrpw4YJ27drlMN12rDhy5IgWLlyowYMHy2Kx5Knvku3btys0NFQVK1Z0mH727FmH45HtH8nM4liyZImGDBniMo6jR4/q559/th97KleurJYtW+bp2JNZHXdl+PDhLuu9q87pcnr8zi853V5+1ZOsPh+bEiVKqEuXLvYWb+np6Zo1a5b9xCs3jDFauXKl+vXrp/Lly2vQoEEKCgrSlClTFBcXp88++yzbzrFt+8rMjum2Y35el894nM/Nb4+4uDiNHDlSI0eOzFProtzKaT3etWuXvvrqK40ePVqPPvqo2rRpY593/vx5/f7773r66af14osvysfHRy+88ILq16+vX375RUOGDNHo0aM1Z84c7du3z6nflZSUFN19992aMmWKHn300UwTxgEBAeratavmzp3r8E97XFycVq5cae9w/fTp0/r999/1yiuvaOTIkXrwwQf10ksvadmyZTnquys7DRs2tB/3u3XrpnvvvVf33nuvihcvrv3792v48OF64403NGvWLD322GMaNmyYli9frkOHDjm1fLF93h9++KEeeeQR+2+bmTNnavbs2Xr22Wc1cOBAff3113r00Uf16aef2utl+/btVbFiRRUvXtweQ7du3TKN+7nnnlOpUqW0evVqPffccxo2bJhiY2OVkJCg4cOHO5Vv3LixvvnmGz322GOaNGmS7rzzTn3++ee5eq8KvNPD9u3ba/Xq1Ro9erSWLFmi1atX6+2331bZsmX12Wef2Tt0sh10ctPEd8aMGQoLC7NndSwWay//06dP13vvvSdvb+9cxxsREeHyx+7ll0JkJygoKMd3S8jtembMmKHOnTvb36uaNWuqSZMmmjFjRpYVzpUZM2aoadOm9o4iS5Qooc6dO2vGjBkuLw0pKN98843TDrd48eIOzxctWqQTJ044HLT69Omjrl276p9//lG9evUcyttOGjK6/fbbs/wS2U60+vfvr2+//VZ33nlnnl7P4MGDNW7cOL3++uuZNjFOTEx02fnXfffd57DMoEGDXF6mcrnhw4c77EiCgoL03nvvOSUMcvs+5kROv0c5/dF/7tw5lz+M/P397fOzWlZSjpY/d+5cpiei/v7+2f5Tk5+8vb3Vs2dPffXVV3rllVc0Y8YMVapUSa1atcpTz+d9+/bVG2+8oREjRqhbt2750lP8HXfcYe+FPDk5WX/88Yfef/993XPPPfYmiDb5td9KTEzM9aUgmdXH+Pj4HP2DeuLECUmZ/wOXE7ZO0SwWi2JjY+3f9caNG6tly5b65JNP9MYbbzgsU7JkyXxp1WLb1uXHkujoaKdtSnLoyOuBBx5QxYoVNXbsWC1fvlzLly/XyJEjVa1aNU2bNs3ekVtejuFSzvb1Nvm1P84vAQEBWrNmjUaNGqWvv/5aU6ZM0ZQpU+Tl5aXHH39c7777bpYndK7kpNNh2/zLT9YfeOABh+dly5bV1KlTHf5JXbFiRY7iyOx49PLLLzsklDp37qwffvgh2zimTZvmdDndrFmz5OXl5XCi2qdPHz3zzDM6depUrr5vmdVxVx555BHdfffdTtMjIyNdls/J8Ts/5WR7+V1PXH0+Gd1zzz26++67FRcXpy1btiguLi7XyesPPvhAH3/8sXbt2qVKlSrpmWee0f3335/rpvs5PaZn9t3LbvmM71dufnu88MILqlatWrYtJPJLTutx1apVM72MsX///g5/mP3555/2f7Ftr1Gyfs/r1KmjH3/80emf6sceeyxH8fbq1UtfffWVVqxYoXbt2kmyXqqQnp5uTxgEBATI19dXK1as0IMPPnhFx9zcmjdvntLT09WzZ0+Hu02Fh4erZs2aWr58uf2yA8laf2x/xGWU8f08c+aMUlJS1KpVK02cOFHbt29Xo0aNchXXkSNHtHHjRj3//PMqVaqUfXrDhg3Vvn17l3+6DBw40OF5q1atNH/+fCUmJuY4mVXgCQNJatasmebNm6fU1FR7c8L3339fPXr00MaNGxUZGWl/ATk9yU5LS9OsWbPUtm1bh+vzoqOj9d577yk2NlYdOnTIdazFixfPtIfe3EhKSnL6lzKv68l4UNi2bZv++usv9evXzyFr3KZNG33yySe5qgynT5/WwoUL9cQTTzis68Ybb9Q333yjnTt3qlatWpkuf/LkSYfmxAEBAVfUC35GN998s0Pvwq5Mnz7dfmsyW/zVq1dXYGCgZsyYoTfffNOhvO2kIT09Xbt379aoUaN07Ngxh52iK3379tXIkSPtJ1p5ERISoiFDhmj48OH666+/XO4ES5Qo4dDTss2IESPsJ2Xt27fP8TZtB5Pz589r2bJl+vDDDx0yuza5fR9zIr++RzYBAQEu/zGwXeuaWQuRjPNysnxAQECmTeTPnz+f5XZyIyEhweGHhq+vr8OBwOaee+7Rhx9+qE2bNmnmzJnq3bt3nk/083KyZbtzS0alSpWyJ1Wuu+46h8/59ttvV+nSpfXss8/qhx9+sN8iLD/3W8HBwblOxmZWH3N7TeSV/Kttqztdu3Z1OBFr0aKFqlatqt9//93l9vIjsWPbr1x+glGmTJkcfU87duyojh07Kjk5WevXr9fs2bM1YcIEdenSRdu3b1e5cuUcjuG56Xk6J/v6jPJjf5yVyy/HCwkJyfJ7HxISorfffltvv/229u/fr9jYWL377rv6+OOPFRIS4jIhk5USJUpkW79t8y//PIcNG6ZWrVrJ29tbZcqUUd26dV32JZLTOGyJsowef/xxdenSRVLmlyvY4khKStL8+fPtiYHLTZ8+Xc2bN9eJEyfs22rcuLFSU1M1Z84chz5rspNZHXelZs2auTo+5eT4nZ9y+nvhSutJdp9PRrZr1GfPnq2NGzeqWbNmqlGjRq72oe+//77279+v9u3b64svvnBqvZJTuTmm52X5jMvm9LfHH3/8oWnTpik2Njbb9/Jy2R1nM5PTepxVy7jL5+3fv1+SteXX5erUqeN0WVuxYsVy/IfqrbfeqpCQEM2ePdueMJg9e7aioqLs5xp+fn5666239MwzzygsLEwtWrRQly5d1K9fP5d3WMlP//77r4wxmd754vLWvxUrVnT5Gf3zzz965ZVXtGzZMqdkXV76EcrqM6lbt66WLFmis2fPOiTaM/btIV36s+PUqVM5/q1V4JckZOTr66tmzZrpzTff1Pjx4+1NoSXZO6/avHlzjta1bNkyHTlyRLNmzVLNmjXtg+16Lnd23Hfo0CElJCRc0e0dJWtT8Z07dzqsx9aR4tNPP+3wut977z2dP3/e5X2qMzNnzhylpKTovffec1jX0KFDJWX/Hnbv3l3ly5e3D4MHD87Dq8wb2+3Z9u7d6xB7ZGSkkpOTNXPmTKcf97aThg4dOuixxx7TwoULtXbtWoeMoSu2E62NGzde0b8LgwcPVmhoaKbXEdWpU0c7duxwulynYcOGiomJyfUJuO1g0qVLF40dO9be5Cxjc7W8vI/uUL58eZdNtm3TsrplWKlSpeTn55ej5cuXL6+0tDSnJsWpqak6ceJEnm5N5srgwYMdvjuZ9VsRHR2t6tWra8iQIdq7d+8VdzDVt29f1ahRI8dNug8ePOgQZ/ny5V2e2GZk+yHwyy+/2Kfl536rTp062rlzZ576bMkr2zXgOe3zwBVb3QkLC3OaV65cOZfrPnXqVK5OpjNj60PoSo9JgYGBatWqlT7++GO98sorOnXqlBYtWiQp98fwvMqv/XFmLq/vs2fPzvGyVapU0QMPPKBVq1YpNDQ0T79D6tatqx07dmTZpPrvv/+Wj4+P0w/bBg0aKCYmRm3btlWDBg3ynCyQrJ/n6dOnnTo6q1Wrlv14lFmy3RZHt27dNHXqVN1+++16+OGHHToOs/U39dtvvznsE2y3yM3te5dfdTwz2R2/C3p7+VFPsvp8Lufn56fu3btr6tSpmj9/fp6ORZMnT1bPnj21cuVKValSRV27drX/mZgbtssBMjum2475eV0+43E+p789nn/+ebVq1UpVq1bVvn37tG/fPvu/1EeOHMny+vu8HGdzIyfJk7zy8/PLcYLEz89P3bp10/z583Xx4kUdPnxYq1atsrcusBkyZIh27typ0aNHy9/fX6+++qrq1q171fuQSk9Pl8Vi0eLFi7V06VKnYeLEiQ7lXb13p0+fVuvWrbVp0yaNGDFC33//vZYuXaq33nrLvo2CkFkL+9z8nndLCwNXbE3kbF+62267Td7e3po+fXqOOk2aMWOGypUrp08++cRp3rx58zR//nxNmDAh3/4RzA3bPZdz05O5K3PnztW5c+fs6zHGaObMmWrbtq1TL+6StfOSGTNmuGwi48qMGTNUv359l9e/TJw4UTNnzszy4Pjee+85/MjNr5OpnLD1pDx+/HinH9Q7duzQK6+8olWrVtl/fLjSsGFD3XvvvZo4caKeffZZp4xcRvfee6/eeOMNvf766zm+L/rlbP8avPbaa+rfv7/T/C5duuiPP/7Q/PnzM+3I6Eq8/PLLmjRpkl555RUtXrxYUv68jwUhKipKy5cvd/ones2aNfb5mfHy8lKDBg1cXp+6Zs0aVatWzf4PjG09tr4tbP7880+lp6dnuZ3ceP755x3+ncvqH6s+ffrojTfeUN26da94+7aTrfvvvz9HJ1vh4eFaunSpw7TsmtPZOlyy/eOX3/utrl27avXq1Q6dtV5tlStXVkBAgENrttyy3Vf98hMwyXodrKs7PuzduzfXzRcvl5aWppkzZyowMDBfv8eXH8O7du2q0aNHa/r06fZe16+W/NgfZ+by+p6XS7JKliyp6tWrZ9vZsytdunTR6tWrNWfOHJf/4O/bt0+//vqrYmJirurvmy5dumjWrFmaMWOGnn/++Sta15gxYzR//nyNGjVKEyZMkGT9/eHj46Np06Y5/bj97bff9OGHH+rAgQNZHpdtbP+UV6pUKUcdOuZFdsfvgt5eftYTV5+PK/fcc48mT54sLy8ve78TuXHLLbfolltu0YkTJ/Tll1/q888/11133aUyZcqob9++GjBgQI72dxUrVsy0z4m1a9dme5zMeJy3dZwsWffDhw4dcmjZEhUVpV9//VXp6ekOJ8Zr1qxRYGCg/Z/xAwcOaP/+/S7/zb/99tsVEhLisjNXKW/H2avF1pHrjh077HdZsdmxY4d9fl716tVLU6dOVWxsrLZt2yZjjFPCQLK2cn3mmWf0zDPP6N9//1VUVJTee++9K7r7nE1mrfaqV68uY4yqVq2aZevqrKxYsUInTpzQvHnzHPpccPXbIaetBzN+Jpfbvn27ypQpk+llfFekQG/iaIxZtmyZ072/jbl0X/SxY8fapw0cONBIMh9++KFT+bS0NPPuu++agwcPmuTkZFOiRAnzwAMPuNzmqlWrjCQza9Ys+zRlcs/wjHJ6//gvvvgi03urxsbGmoCAAFO1alWX9yHPKLN74hpjzMaNG025cuVMyZIlzZEjR4wxxvz6669Gkvnyyy9drm/UqFHGy8vLHD582GG6q3t9HjhwwFgsFjNixAiX65oxY4aRZP74448sX0Nu5OT9zem9udu1a2eqVavmct758+dNUFCQGThwYLbb/ueff4zFYjGDBw+2T8vsHrdTpkxxuB/45fe7L168uEN5V9s8ffq0CQ0Nta8j4zZOnDhhwsLCTIUKFVzehzg9PT1H9Tire/Q+//zzRpL566+/jDG5fx+NMWbdunVGkvniiy9cLpfT75Exxmzbts3hPsqZ+eOPP5xe0/nz502NGjVMdHS0Q9n9+/c73EfZGGPGjBnj9J3dvn278fb2Ni+88IJ9WnJysilVqpTp0qWLw/L33nuvCQwMNCdOnHAZX37e1/fy+43v27fPDB8+3OF+5672Qa6+O67q5cWLF02NGjXsdTCv9ynPrC4OGzbMSDLjx483xuTvfssY6/3Hy5cvb8qXL+/yexIfH29Gjhxpf55VfczN623VqpVp1apVlmWyqweNGjUywcHBDp/RkiVLjCTz9ttvO5Q9ffq0sVgs5r333ss2tsxe48WLF83jjz9uJJkXX3zRYV5m97W/3M8//+xy+mOPPWYkmXnz5tmn3XrrrcbLy8vMnz/fqXxKSop55pln7M9zuq/Py/44o3r16pnWrVtnuY282rhxo8vt7tu3zwQEBJiGDRu6XC6r+28fP37clCtXzoSHh5vdu3c7zDt37pxp06aN8fLyMqtWrbJPz+q3xOVc7R9dSU1NNZGRkSYoKMisXr3aZZnKlSs71KGs4ujZs6fx8/Oz/56pUaOGueWWW1yu99ChQ8ZisZgxY8bYp2VWX5OTk023bt2MJDNhwgSHeVeyf8vt8TujvBwPcru9/K4nl38+xjgfP9LS0szIkSPNp59+ap+Wm/fUldWrV5sHH3zQBAUFGUmmcePGDse6zAwcONAEBASYAwcO2Kf9/PPPDsceY6z1eNu2bea///5zWL5OnTqmUaNG5uLFi/Zpr7zyirFYLGbr1q32abNmzXJ6z44dO2ZCQ0NNr1697NOWLFli5s+f7zA8+eSTRpJ59913zQ8//JC7NyYLuXnPM/veZFYXUlNTTbly5UzDhg3N+fPn7dMXLlxoJJlhw4bZp7n6fZGd1NRUU6pUKTNgwADTokUL07x5c4f5Z8+edTp3SktLM2FhYaZHjx72af/995/Ztm2bSU1NzXJ7rl7n+PHjHX4H2+zatct4e3ube+65x+m8NT093Rw/ftz+PLNj7oIFC4wks2LFCvu0lJQU+3d4+fLl9um9evUyoaGhTuuwfb4Zf2NHRUWZsLAwc+rUKfu0zZs3Gy8vL9OvXz/7tMyOq7bfjLnZJxV4C4Mnn3xSycnJuvPOO1WnTh2lpqbq999/1+zZsxUREeHwr9J7772n3bt366mnntK8efPUpUsXlSxZUgcOHNCcOXPsd0RYsGCBzpw5k+k/Cy1atFDZsmU1Y8YMh8zVn3/+6fJ6wjZt2tj/eUlISMg0g3V5FnfRokXavn27Ll68qPj4eC1btkxLly5VlSpVtGDBgmyvjbf59ddfdf78eaWlpenEiRNatWqVFixYoJCQEM2fP99+3c6MGTPk7e2tzp07u1zP7bffrpdfflmzZs2yX1aQGVtT88zew06dOqlYsWKaMWOGoqOjc/Q6cuLYsWMuP4OqVas63L917ty5Ljtcat++vdLS0rR8+XI99dRTLrfh5+enjh07as6cOfrwww+zvAVdZGSkOnXqpM8++0yvvvqqw+2nLme7djarW/hlJyQkRIMHD3bZcqNUqVKaP3++unbtqkaNGql3795q1qyZfHx8dPDgQfvlOzn5xyUzts6UxowZY+/ELD/ex8vl9HtUt25dtW7dOtuOuKKjo3X33XfrpZde0tGjR1WjRg1NnTpV+/btc+q0sl+/flq5cqVD06vHH39ckyZNUufOnfXss8/Kx8dHY8eOVVhYmMOdGwICAjRy5EgNGjRId999tzp27Khff/1V06dP16hRoxz6GUhISNBHH30kSfZb33388ccKDQ1VaGiovd+JK1WlSpV8vaWXt7e3Xn755Rz/o5+VnTt32j9nW6eHU6dOVY0aNewtxfJzvyVZ/72dP3++OnXqpKioKN177732f+83bNigr776Si1btrzi13a5O+64Qy+//LJTK5fc1IP3339f7du310033aRHH31UCQkJGjt2rGrVquXUcdTPP/8sY4y95+XsZPzOJScna9euXZo3b552796t3r17a+TIkU7LHD582OX3NCgoyN4/wB133KGqVauqa9euql69us6ePauff/5Z33//vf02rDZffvmlOnTooO7du6tr165q166dihcvrn///VezZs3SkSNH9O677zpsK6t9vavLN2zyY398pZYuXarhw4fr9ttvV4sWLRQUFKQ9e/Zo8uTJSklJydP3tnTp0po7d646d+6s66+/Xg899JAiIyMVFxenKVOmaNeuXfrggw/snU3mlqv9oys+Pj6aP3++OnbsqJtuukndu3e33wP88OHDWrBggQ4cOJDp9/pyzz33nL7++muNGzdOd955p3bt2pXpPrJixYq6/vrrNWPGDL3wwgv26Rnra1JSkrZu3ao5c+YoLi5OzzzzjB599NEcxbJhwwaX9b569epZ7juyOn5fDVltL7/rScbPZ8yYMS7LeHl55fvtAlu0aKEWLVpo3Lhxmj17tj777DP99NNPuu2227Jc7n//+5/mzJmjtm3bavDgwUpKStI777yjBg0aOBzbDh8+rLp166p///4O97V/5513dPvtt6tDhw7q3bu3tmzZoo8//lgPPfSQQyuVHj16qEWLFhowYIC2bt2qMmXK6NNPP1VaWprD5+KqzzRbi4LWrVu7vAXklcprPc6Kj4+P3nrrLQ0YMECtW7dWnz59FB8frw8++EARERF6+umnryhmHx8fde/eXbNmzdLZs2edjgc7d+5Uu3bt1LNnT0VGRqpYsWKaP3++4uPjHVq1vPTSS5o6dar27t2riIiIXMVg+73w8ssvq3fv3vLx8bEf39544w299NJL2rdvn7p166YSJUpo7969mj9/vh555BE9++yzWa77hhtuUMmSJdW/f3899dRTslgsmjZtmsv9bZMmTTR79mwNHTpUzZo1U1BQkMPxNKN33nlHt912m1q2bKkHH3xQ586d00cffaSQkJCrd8vXHKcW8smiRYvMAw88YOrUqWOCgoKMr6+vqVGjhnnyySdNfHy8U/mLFy+azz77zLRq1cqEhIQYHx8fU6VKFTNgwAB7Nqhr167G39/fnD17NtPt3n///cbHx8eeEZKU6WD7N6p169ZZlrOxZWpsg6+vrwkPDzft27c3H3zwgUlMTMzRe2PLfNkGHx8fU7ZsWXPzzTebUaNGmaNHj9rLpqammtKlS2f7D1fVqlVN48aNHaa5+jejQYMGpnLlylmuq02bNqZcuXLmwoULOXo92cnq/W3Xrp0x5lJ2LLNh+fLl5r333jOSTGxsbKbbsv379N1339m3ndm/jCtWrDCSzPDhw40xWWdvM372eWlhYIwxp06dMiEhIZlu48iRI+a5554zkZGRJiAgwPj5+Zlq1aqZfv36mV9++SXT12yTXfb5/vvvN97e3ubdd9/N9ftoTM5aGOTke2SM9XuZ03//zp07Z5599lkTHh5u/Pz8TLNmzczixYsz3f7lDh48aHr06GGCg4NNUFCQ6dKli/n3339dbuv//u//TO3atY2vr6+pXr26ef/9950yzrb32dWQ2b+HOZGTf36vpIWBMcZcuHDBVK9e/YpbGGQcvL29zXXXXWceeeQR+749v/dbGf3333/m6aefNrVq1TL+/v4mMDDQNGnSxIwaNcokJCTYy+VXC4P4+HhTrFgxM23aNJfryGk9WLp0qWnRooXx9/c3pUqVMvfdd5/Dv3o2vXr1MjfddFO2cdleY8btBgUFmZo1a5p7773X/PTTTy6XqVKlSo7i/uqrr0zv3r1N9erVTUBAgPH39zeRkZHm5ZdfdnmsS05ONu+++65p1qyZ/Zhfs2ZN8+STT5pdu3bZy+VkX5/x/c3N/jijq9nCYM+ePWbYsGGmRYsWply5cqZYsWKmbNmypnPnzmbZsmWZLpdd3TbG+roffvhhU7lyZePj42PKlCljbr/9dvPrr786lc1NC4PM9o+ZOX36tBkxYoRp3Lix/fOsVKmS6dGjh/n+++9zFUebNm1McHCwuf/++40kp3/GM3rttdeMJLNp0yZjjGN9tVgsJjg42NSrV888/PDDZs2aNS7Xkdn+LbOhf//+9rJ5PX4bk38tDHKyvfysJ7bP5/Tp08aYnP2DfKUtDFxJSkrKUbktW7aYDh06mMDAQBMaGmr69u1r4uLiXMaX8bO1mT9/vomKijJ+fn7muuuuM6+88orLf6xPnjxpHnzwQVO6dGkTGBhoWrdu7bKF8eWyao18JXJTj3PbwsBm9uzZpnHjxsbPz8+UKlXK9O3b1xw6dMihTF5aGBhjPQbavscHDx50mHf8+HEzaNAgU6dOHVO8eHETEhJioqOjzddff+207Zx8xzJ7nSNHjjQVK1Y0Xl5eTuv55ptvzE033WSKFy9uihcvburUqWMGDRrk0KIxq98Vq1atMi1atDABAQGmQoUK5vnnn7e3JMzYwiApKcncc889JjQ01OG466qFgTHWFjQ33nijCQgIMMHBwaZr164OrWGMyd8WBhZjCkEPZgAAeJgHH3xQO3fu1K+//npVtxMXF6eqVatq1qxZOW5hAAAAkB9IGAAAkAcHDhxQrVq1FBsbqxtvvPGqbefFF1/UsmXLtHbt2qu2DQAAAFdIGAAAAAAAACc5u1kmAAAAAAC4ppAwAAAAAAAATkgYAAAAAAAAJyQMAAAAAACAk2LuDqCgpaen67///lOJEiVksVjcHQ4AAAAAoIgzxujMmTOqUKGCvLw853/7ay5h8N9//6lSpUruDgMAAAAAcI05ePCgrrvuOneHkWPXXMKgRIkSkqwfVHBwsJujAQAAAAAUdYmJiapUqZL9fNRTXHMJA9tlCMHBwSQMAAAAAAAFxtMui/eciycAAAAAAECBIWEAAAAAAACckDAAAAAAAABOCkXC4JNPPlFERIT8/f0VHR2ttWvXZlq2TZs2slgsTkPnzp0LMGIAAAAAAIo2tycMZs+eraFDh2r48OHasGGDGjVqpI4dO+ro0aMuy8+bN09HjhyxD1u2bJG3t7fuvvvuAo4cAAAAAICiy+0Jg7Fjx+rhhx/WgAEDFBkZqQkTJigwMFCTJ092Wb5UqVIKDw+3D0uXLlVgYCAJAwAAAAAA8pFbEwapqalav369YmJi7NO8vLwUExOj1atX52gdn3/+uXr37q3ixYu7nJ+SkqLExESHAQAAAAAAZM2tCYPjx48rLS1NYWFhDtPDwsIUFxeX7fJr167Vli1b9NBDD2VaZvTo0QoJCbEPlSpVuuK4AQAAAAAo6tx+ScKV+Pzzz9WgQQM1b9480zIvvfSSEhIS7MPBgwcLMEIAAAAAADxTMXduvEyZMvL29lZ8fLzD9Pj4eIWHh2e57NmzZzVr1iyNGDEiy3J+fn7y8/O74lgL3N690vr1UkSE1LSpu6MBAAAAAFxj3NrCwNfXV02aNFFsbKx9Wnp6umJjY9WyZcssl50zZ45SUlJ07733Xu0w3WP8eOnuu6Uvv3R3JAAAAACAa5BbWxhI0tChQ9W/f381bdpUzZs317hx43T27FkNGDBAktSvXz9VrFhRo0ePdlju888/V7du3VS6dGl3hH311a5tfdyxw71xAAAAAACuSW5PGPTq1UvHjh3TsGHDFBcXp6ioKC1evNjeEeKBAwfk5eXYEGLHjh367bff9NNPP7kj5IJRt671cds298YBAAAAALgmWYwxxt1BFKTExESFhIQoISFBwcHB7g4nc6dOSaVKWccTEqTCHCsAAAAAIFMecx56GY++S0KRVrKkZOv4cft298YCAAAAALjmkDAozCIjrY///OPeOAAAAAAA1xwSBoUZ/RgAAAAAANyEhEFhZmthsHWre+MAAAAAAFxzSBgUZiQMAAAAAABuQsKgMLMlDPbtk5KT3RoKAAAAAODaQsKgMCtbVipdWjJG2rHD3dEAAAAAAK4hJAwKM4uFyxIAAAAAAG5BwqCwI2EAAAAAAHADEgaFXb161sfNm90bBwAAAADgmkLCoLBr2ND6SMIAAAAAAFCASBgUdg0aWB/37ZMSE90aCgAAAADg2kHCoLArVUqqUME6/s8/7o0FAAAAAHDNIGHgCWytDLZscW8cAAAAAIBrBgkDT1C/vvWRhAEAAAAAoICQMPAEtoQBHR8CAAAAAAoICQNPYLskYfNmyRj3xgIAAAAAuCaQMPAEkZGSl5d0/LgUF+fuaAAAAAAA1wASBp4gIECqVcs6zmUJAAAAAIACQMLAUzRsaH3ctMm9cQAAAAAArgkkDDxFo0bWRxIGAAAAAIACQMLAU5AwAAAAAAAUIBIGnsKWMNi2TTp/3r2xAAAAAACKPBIGnqJiRalUKSktTdq61d3RAAAAAACKOBIGnsJikaKirONclgAAAAAAuMpIGHgS22UJGze6NQwAAAAAQNFHwsCT0PEhAAAAAKCAkDDwJBkvSTDGraEAAAAAAIo2EgaepG5dycdHOn1aOnDA3dEAAAAAAIowEgaexNdXioy0jtOPAQAAAADgKiJh4GlslyWQMAAAAAAAXEUkDDyNLWGwYYNbwwAAAAAAFG0kDDzN9ddbH0kYAAAAAACuIhIGnqZxY+vjoUPS0aPujQUAAAAAUGSRMPA0JUpItWpZx2llAAAAAAC4SkgYeKImTayP69e7Nw4AAAAAQJFFwsAT2RIGtDAAAAAAAFwlJAw8ka3jQ1oYAAAAAACuEhIGnsjW8eH+/dKJE+6NBQAAAABQJJEw8EShoVL16tZxLksAAAAAAFwFJAw8VdOm1sc1a9wbBwAAAACgSCJh4KluuMH6uHq1e+MAAAAAABRJJAw8VcuW1sfVq6X0dPfGAgAAAAAockgYeKqoKCkgQDp1Stq5093RAAAAAACKGBIGnsrHR2rWzDr+++/ujQUAAAAAUOSQMPBkGS9LAAAAAAAgH5Ew8GS2jg9pYQAAAAAAyGckDDxZixbWx61brX0ZAAAAAACQT9yeMPjkk08UEREhf39/RUdHa+3atVmWP336tAYNGqTy5cvLz89PtWrV0sKFCwso2kKmXDmpRg3r+Jo17o0FAAAAAFCkuDVhMHv2bA0dOlTDhw/Xhg0b1KhRI3Xs2FFHjx51WT41NVXt27fXvn37NHfuXO3YsUOTJk1SxYoVCzjyQoTLEgAAAAAAV4FbEwZjx47Vww8/rAEDBigyMlITJkxQYGCgJk+e7LL85MmTdfLkSX377be68cYbFRERodatW6tRo0YFHHkhQseHAAAAAICrwG0Jg9TUVK1fv14xMTGXgvHyUkxMjFZncvK7YMECtWzZUoMGDVJYWJjq16+vN998U2lpaZluJyUlRYmJiQ5DkWJrYfDHH1IW7wMAAAAAALnhtoTB8ePHlZaWprCwMIfpYWFhiouLc7nMnj17NHfuXKWlpWnhwoV69dVX9d577+mNN97IdDujR49WSEiIfahUqVK+vg63q1dPKlFCSkqS/vnH3dEAAAAAAIoIt3d6mBvp6ekqV66c/u///k9NmjRRr1699PLLL2vChAmZLvPSSy8pISHBPhw8eLAAIy4A3t5SdLR1nH4MAAAAAAD5xG0JgzJlysjb21vx8fEO0+Pj4xUeHu5ymfLly6tWrVry9va2T6tbt67i4uKUmprqchk/Pz8FBwc7DEWOrR8DEgYAAAAAgHzitoSBr6+vmjRpotjYWPu09PR0xcbGqqXtBPgyN954o3bt2qX09HT7tJ07d6p8+fLy9fW96jEXWrZ+DOj4EAAAAACQT9x6ScLQoUM1adIkTZ06Vdu2bdNjjz2ms2fPasCAAZKkfv366aWXXrKXf+yxx3Ty5EkNHjxYO3fu1I8//qg333xTgwYNctdLKBxatLA+7tolZXJLSgAAAAAAcqOYOzfeq1cvHTt2TMOGDVNcXJyioqK0ePFie0eIBw4ckJfXpZxGpUqVtGTJEj399NNq2LChKlasqMGDB+uFF15w10soHEJDpchIaetW690Sbr/d3REBAAAAADycxRhj3B1EQUpMTFRISIgSEhKKVn8GDz8sffaZ9MIL0pgx7o4GAAAAAPD/eep5qEfdJQFZsPX7QD8GAAAAAIB8QMKgqLB1fLhunXThgntjAQAAAAB4PBIGRUWtWlKpUtK5c9KmTe6OBgAAAADg4UgYFBVeXpfulvD77+6NBQAAAADg8UgYFCW2yxJIGAAAAAAArhAJg6KEjg8BAAAAAPmEhEFR0ry59dKEAwekQ4fcHQ0AAAAAwIORMChKgoKkqCjr+C+/uDUUAAAAAIBnI2FQ1Nxyi/UxNta9cQAAAAAAPBoJg6KmXTvrY2ysZIx7YwEAAAAAeCwSBkVNq1ZSsWLS/v3Snj3ujgYAAAAA4KFIGBQ1xYtLLVpYx7ksAQAAAACQRyQMiqKYGOsjCQMAAAAAQB6RMCiKbP0YLFsmpae7NxYAAAAAgEciYVAURUdbb7F4/Li0aZO7owEAAAAAeCASBkWRj4/Utq11fMkS98YCAAAAAPBIJAyKqo4drY8kDAAAAAAAeUDCoKiyJQxWrZKSktwbCwAAAADA45AwKKpq1JCqVZMuXJCWL3d3NAAAAAAAD0PCoCjr0MH6yGUJAAAAAIBcImFQlNGPAQAAAAAgj0gYFGW33CIVKybt2mUdAAAAAADIIRIGRVlwsNSqlXX8xx/dGwsAAAAAwKOQMCjqOnWyPi5c6N44AAAAAAAehYRBUWdLGKxcKZ09695YAAAAAAAeg4RBUVe3rlSlipSSwu0VAQAAAAA5RsKgqLNYLrUyoB8DAAAAAEAOkTC4FnTtan38/nvJGPfGAgAAAADwCCQMrgVt20rFi0uHD0vr17s7GgAAAACAByBhcC3w95duvdU6/t137o0FAAAAAOARSBhcK+64w/pIwgAAAAAAkAMkDK4VnTpJ3t7S5s3S3r3ujgYAAAAAUMiRMLhWlC4t3XSTdXzBAvfGAgAAAAAo9EgYXEu4LAEAAAAAkEMkDK4lt99uffzlF+nkSffGAgAAAAAo1EgYXEuqV5fq1ZPS0qRFi9wdDQAAAACgECNhcK2xXZYwf7574wAAAAAAFGokDK41d95pfVy0SEpOdm8sAAAAAIBCi4TBtaZJE6lKFWuyYMkSd0cDAAAAACikSBhcaywW6a67rOPffOPeWAAAAAAAhRYJg2uRLWGwYIGUkuLeWAAAAAAAhRIJg2tRixZSxYrSmTPS4sXujgYAAAAAUAiRMLgWeXlJvXpZx7/6yr2xAAAAAAAKJRIG16reva2P338vnT3r3lgAAAAAAIUOCYNrVdOmUvXq1rslfPutu6MBAAAAABQyJAyuVRaL1LevdXzGDPfGAgAAAAAodEgYXMtsCYOffpLi490bCwAAAACgUCFhcC2rVUtq3lxKS5Nmz3Z3NAAAAACAQqRQJAw++eQTRUREyN/fX9HR0Vq7dm2mZadMmSKLxeIw+Pv7F2C0RYytlcH06e6NAwAAAABQqLg9YTB79mwNHTpUw4cP14YNG9SoUSN17NhRR48ezXSZ4OBgHTlyxD7s37+/ACMuYnr1kry9pXXrpB073B0NAAAAAKCQcHvCYOzYsXr44Yc1YMAARUZGasKECQoMDNTkyZMzXcZisSg8PNw+hIWFFWDERUxYmHTrrdbxKVPcGgoAAAAAoPBwa8IgNTVV69evV0xMjH2al5eXYmJitHr16kyXS0pKUpUqVVSpUiXdcccd+ueffzItm5KSosTERIcBl3ngAevj1KnSxYvujQUAAAAAUCi4NWFw/PhxpaWlObUQCAsLU1xcnMtlateurcmTJ+u7777T9OnTlZ6erhtuuEGHDh1yWX706NEKCQmxD5UqVcr31+HxunSRypaVjhyRFi92dzQAAAAAgELA7Zck5FbLli3Vr18/RUVFqXXr1po3b57Kli2riRMnuiz/0ksvKSEhwT4cPHiwgCP2AL6+0n33Wcc//9y9sQAAAAAACgW3JgzKlCkjb29vxcfHO0yPj49XeHh4jtbh4+Ojxo0ba9euXS7n+/n5KTg42GGACw8+aH384Qcpk9YdAAAAAIBrh1sTBr6+vmrSpIliY2Pt09LT0xUbG6uWLVvmaB1paWnavHmzypcvf7XCvDZERko33GDtw+CLL9wdDQAAAADAzdx+ScLQoUM1adIkTZ06Vdu2bdNjjz2ms2fPasCAAZKkfv366aWXXrKXHzFihH766Sft2bNHGzZs0L333qv9+/froYcectdLKDoeftj6+NlnUnq6e2MBAAAAALhVMXcH0KtXLx07dkzDhg1TXFycoqKitHjxYntHiAcOHJCX16W8xqlTp/Twww8rLi5OJUuWVJMmTfT7778rMjLSXS+h6Lj7bmnIEGnPHmnpUqljR3dHBAAAAABwE4sxxrg7iIKUmJiokJAQJSQk0J+BK4MHSx9+KN1xh/Ttt+6OBgAAAAA8nqeeh7r9kgQUMgMHWh+//146cMC9sQAAAAAA3IaEARzVrSu1bWvtw+D//s/d0QAAAAAA3ISEAZw9/rj1ceJEKTnZvbEAAAAAANyChAGcdesmVa0qHT8uTZni7mgAAAAAAG5AwgDOihWTnnnGOv7ee9LFi+6NBwAAAABQ4EgYwLUBA6TSpa23WJw3z93RAAAAAAAKWJ4SBiNGjFCyi2vbz507pxEjRlxxUCgEAgOlJ56wjr/9tnRt3X0TAAAAAK55FmNyfybo7e2tI0eOqFy5cg7TT5w4oXLlyiktLS3fAsxvnnr/S7c4dkyqUkU6d06KjZVuucXdEQEAAACAx/HU89A8tTAwxshisThN37Rpk0qVKnXFQaGQKFtWeuAB6/g777g3FgAAAABAgSqWm8IlS5aUxWKRxWJRrVq1HJIGaWlpSkpK0sCBA/M9SLjR0KHS+PHS4sXS339LDRu6OyIAAAAAQAHIVcJg3LhxMsbogQce0Ouvv66QkBD7PF9fX0VERKhly5b5HiTcqFo1qUcP6euvra0Mpk1zd0QAAAAAgAKQpz4MVq5cqRtvvFHFiuUq31AoeOq1I271559Ss2aSt7e0e7e1XwMAAAAAQI546nlonvowKFGihLZt22Z//t1336lbt2763//+p9TU1HwLDoVE06bWDg/T0qRx49wdDQAAAACgAOQpYfDoo49q586dkqQ9e/aoV69eCgwM1Jw5c/T888/na4AoJGyf66RJ0smT7o0FAAAAAHDV5SlhsHPnTkVFRUmS5syZo9atW2vmzJmaMmWKvvnmm/yMD4VFhw7WDg/PnrV2gggAAAAAKNLyfFvF9PR0SdLPP/+sTp06SZIqVaqk48eP5190KDwsFum556zjH3wgJSW5Nx4AAAAAwFWVp4RB06ZN9cYbb2jatGlauXKlOnfuLEnau3evwsLC8jVAFCK9ekk1akjHjlmTBgAAAACAIitPCYNx48Zpw4YNeuKJJ/Tyyy+rRo0akqS5c+fqhhtuyNcAUYj4+EgjRljH33mHvgwAAAAAoAjL020VM3P+/Hl5e3vLx8cnv1aZ7zz1dhaFRnq6FBUlbd4svfiiNHq0uyMCAAAAgELNU89DryhhsH79evvtFSMjI3X99dfnW2BXi6d+UIXK999Lt98uBQZKu3dL4eHujggAAAAACi1PPQ8tlpeFjh49ql69emnlypUKDQ2VJJ0+fVpt27bVrFmzVLZs2fyMEYVNly5SixbSH39Ib74pffihuyMCAAAAAOSzPPVh8OSTTyopKUn//POPTp48qZMnT2rLli1KTEzUU089ld8xorCxWKRRo6zjEyZI+/e7Nx4AAAAAQL7L0yUJISEh+vnnn9WsWTOH6WvXrlWHDh10+vTp/Iov33lqU5BCKSZGio2VBgyQJk92dzQAAAAAUCh56nlonloYpKenu+zY0MfHR+np6VccFDyErZXB1KnS9u3ujQUAAAAAkK/ylDC45ZZbNHjwYP3333/2aYcPH9bTTz+tdu3a5VtwKOSio6U77rDeOeGFF9wdDQAAAAAgH+UpYfDxxx8rMTFRERERql69uqpXr66qVasqMTFRH330UX7HiMJs9GjJ21tasMB6eQIAAAAAoEjI820VjTH6+eeftf3/N0WvW7euYmJi8jW4q8FTrx0p1J56SvroI6l+femvv6Riebr5BgAAAAAUSZ56HpqrFgbLli1TZGSkEhMTZbFY1L59ez355JN68skn1axZM9WrV0+//vrr1YoVhdVrr0mlSklbtkgTJ7o7GgAAAABAPshVwmDcuHF6+OGHXWZEQkJC9Oijj2rs2LH5Fhw8RKlS0siR1vFXX5WOH3dvPAAAAACAK5arhMGmTZt06623Zjq/Q4cOWr9+/RUHBQ/0yCNSw4bSqVPS//7n7mgAAAAAAFcoVwmD+Ph4l7dTtClWrJiOHTt2xUHBAxUrJn38sXV80iTp99/dGw8AAAAA4IrkKmFQsWJFbdmyJdP5f//9t8qXL3/FQcFDtWolDRhgHR84ULpwwb3xAAAAAADyLFcJg06dOunVV1/V+fPnneadO3dOw4cPV5cuXfItOHigt9+29mmwebP04YfujgYAAAAAkEe5uq1ifHy8rr/+enl7e+uJJ55Q7dq1JUnbt2/XJ598orS0NG3YsEFhYWFXLeAr5am3s/AokydLDz4oFS8ubd0qVa7s7ogAAAAAwG089Tw0VwkDSdq/f78ee+wxLVmyRLZFLRaLOnbsqE8++URVq1a9KoHmF0/9oDxKerrUpo30669Sx47SokWSxeLuqAAAAADALTz1PDTXCQObU6dOadeuXTLGqGbNmipZsmR+x3ZVeOoH5XF27JAaNZJSUqwtDmx9GwAAAADANcZTz0PznDDwVJ76QXmkt9+WXnhBCgmxXppQoYK7IwIAAACAAuep56G56vQQyJWhQ6VmzaSEBOnhh6VrKzcFAAAAAB6NhAGunmLFpClTJD8/aeFC6bPP3B0RAAAAACCHSBjg6oqMlEaNso4PHSrt2ePeeAAAAAAAOULCAFffkCHSzTdLSUnSffdJFy+6OyIAAAAAQDZIGODq8/aWvvxSCg6Wfv9dGjHC3REBAAAAALJBwgAFo0oVacIE6/gbb0jLl7s3HgAAAABAlkgYoOD06SMNGGC9W8K990pHj7o7IgAAAABAJkgYoGB99JFUt67033/WBAL9GQAAAABAoUTCAAWreHHpm2+sj8uWSa++6u6IAAAAAAAukDBAwatbV/r8c+v4mDHSd9+5Nx4AAAAAgBMSBnCPXr2kwYOt4/36Sbt2uTceAAAAAICDQpEw+OSTTxQRESF/f39FR0dr7dq1OVpu1qxZslgs6tat29UNEFfHO+9IN94oJSZKd90lJSe7OyIAAAAAwP/n9oTB7NmzNXToUA0fPlwbNmxQo0aN1LFjRx3Npgf9ffv26dlnn1WrVq0KKFLkOx8fafZsqVw56e+/pQcesN5BAQAAAADgdm5PGIwdO1YPP/ywBgwYoMjISE2YMEGBgYGaPHlypsukpaWpb9++ev3111WtWrUCjBb5rmJF6euvpWLFrMmD1193d0QAAAAAALk5YZCamqr169crJibGPs3Ly0sxMTFavXp1psuNGDFC5cqV04MPPpjtNlJSUpSYmOgwoJBp3VqaMME6/vrr0ldfuTceAAAAAIB7EwbHjx9XWlqawsLCHKaHhYUpLi7O5TK//fabPv/8c02aNClH2xg9erRCQkLsQ6VKla44blwFDz4oPfecdXzAAOnXX90bDwAAAABc49x+SUJunDlzRvfdd58mTZqkMmXK5GiZl156SQkJCfbh4MGDVzlK5Nno0VK3blJKinT77dLWre6OCAAAAACuWcXcufEyZcrI29tb8fHxDtPj4+MVHh7uVH737t3at2+funbtap+Wnp4uSSpWrJh27Nih6tWrOyzj5+cnPz+/qxA98p23tzRzphQTI/3+u3TbbdbHihXdHRkAAAAAXHPc2sLA19dXTZo0UWxsrH1aenq6YmNj1bJlS6fyderU0ebNm7Vx40b7cPvtt6tt27bauHEjlxsUBQEB0oIFUq1a0oEDUseO0smT7o4KAAAAAK45bm1hIElDhw5V//791bRpUzVv3lzjxo3T2bNnNWDAAElSv379VLFiRY0ePVr+/v6qX7++w/KhoaGS5DQdHqx0aemnn6QbbpD++Ufq3FlaulQKCnJ3ZAAAAABwzXB7wqBXr146duyYhg0bpri4OEVFRWnx4sX2jhAPHDggLy+P6moB+aFKFWvSoFUr6Y8/rH0a/PCDFBjo7sgAAAAA4JpgMcYYdwdRkBITExUSEqKEhAQFBwe7OxxkZ+1aa58GZ85It94qffutRJ8UAAAAADyIp56H8tc9CrfmzaWFC60tCxYvlnr2lFJT3R0VAAAAABR5JAxQ+N10k7UjRH9/62Pv3iQNAAAAAOAqI2EAz9CunTR/vvVyhPnzpbvvllJS3B0VAAAAABRZJAzgOW69Vfruu0stDbp1k86dc3dUAAAAAFAkkTCAZ+nYUfrxx0t9GnTpIiUluTsqAAAAAChySBjA89xyizVZUKKEtGyZ9S4KJ064OyoAAAAAKFJIGMAztWol/fyzVLKktGaNdOON0r597o4KAAAAAIoMEgbwXM2bS7/+Kl13nbRjh9SypfTXX+6OCgAAAACKBBIG8Gz16kmrV0sNGkhxcdLNN0s//eTuqAAAAADA45EwgOe77jprS4NbbrF2gNi5szR5srujAgAAAACPRsIARUNIiLRokXTPPdLFi9KDD0rPPGMdBwAAAADkGgkDFB2+vtK0adLw4dbnY8daWxucOuXeuAAAAADAA5EwQNHi5SW99pr09ddSYKC1P4PmzaV//nF3ZAAAAADgUUgYoGi6+27p99+lKlWkXbuk6Ghp9mx3RwUAAAAAHoOEAYquRo2kdeukdu2ks2el3r2lIUOk1FR3RwYAAAAAhR4JAxRtZctKixdLL75off7BB1Lr1tKBA+6NCwAAAAAKORIGKPqKFZNGj5a+/dZ6N4U//pCioqTvvnN3ZAAAAABQaJEwwLXjjjukDRukZs2sd07o1k0aNEg6d87dkQEAAABAoUPCANeWatWk336TnnnG+vzTT6WmTaWNG90aFgAAAAAUNiQMcO3x9ZXefVdaskQKD5e2brXeevHNN6WLF90dHQAAAAAUCiQMcO3q0EH6+2/pzjulCxekl1+WWrWSduxwd2QAAAAA4HYkDHBtK1tW+uYbaepUKTj4UoeIY8dKaWnujg4AAAAA3IaEAWCxSP36SVu2SO3bS+fPW/s4uOEGafNmd0cHAAAAAG5BwgCwqVTJ2q/BpEnW2y+uXStdf7306qvWJAIAAAAAXENIGAAZWSzSQw9ZO0Ls1s3aCeIbb0gNG1qTCQAAAABwjSBhALhSoYI0b561f4MKFaR//5VuvVXq3l3at8/d0QEAAADAVUfCAMiMxWJNEGzbJg0ZInl7S/PnS3XrSiNHcpkCAAAAgCKNhAGQneBg6f33pY0bpTZtrImCYcOsiYOZM6X0dHdHCAAAAAD5joQBkFP160vLlkmzZkkVK1ovTejbV2raVFq61N3RAQAAAEC+ImEA5IbFIvXqJe3YYe0MsUQJ6a+/pA4drLdkXL/e3RECAAAAQL4gYQDkRfHi0ssvS3v2WPs38PGRfv7Z2tqgTx9p9253RwgAAAAAV4SEAXAlypSx9m+wY4d0773WFgizZkl16khPPikdPeruCAEAAAAgT0gYAPmhalVp2jRpwwbr7RcvXpQ+/liqXl169VXpxAl3RwgAAAAAuULCAMhPUVHSokXWzhGbNZOSkqx9HURESC++SIsDAAAAAB6DhAFwNbRtK61ZI33zjTWJkJQkvfWWNXEwdKh05Ii7IwQAAACALJEwAK4Wi0Xq3t16mcKCBdYWB+fOWfs8qFpVevxx660ZAQAAAKAQImEAXG0Wi9S1q7XFweLF0g03SCkp0vjx1j4OeveW1q1zd5QAAAAA4ICEAVBQLBapY0fpt9+sfRy0by+lp0uzZ0vNm1sTCbNnSxcuuDtSAAAAACBhABQ4i8Xax8FPP0kbN0r33Sf5+EirV1tbG1SrJo0eLR0/7u5IAQAAAFzDSBgA7tSokfTll9KBA9Lw4VK5ctKhQ9L//iddd53Uv7/1UgZj3B0pAAAAgGsMCQOgMAgPl157zZo4mDpVuv56az8HX34ptWhh7TBx8mTp7Fl3RwoAAADgGkHCAChM/Pykfv2kP/+U/vjDermCn5+0fr304INShQrSoEHW+bQ6AAAAAHAVkTAACiOLRYqOtrYwOHRIeusta98GiYnSp59aWxw0bCiNHSsdPeruaAEAAAAUQRZjrq2/KRMTExUSEqKEhAQFBwe7Oxwg59LTrXdXmDxZmjfPesmCJBUrJnXqJA0YIHXubO1AEQAAAECh4annoSQMAE90+rQ0a5Y0ZYq1U0Sb0qWlXr2kvn2lli2tLRUAAAAAuJWnnoeSMAA83dat1sTBtGlSXNyl6RER0j33WId69dwVHQAAAHDN89TzUBIGQFFx8aL1koXp06X586WkpEvz6tWztjzo2VOqXdt9MQIAAADXIE89DyVhABRFycnS999LM2ZIixdLFy5cmtewodSjh9S9uxQZyWULAAAAwFXmqeehheIuCZ988okiIiLk7++v6OhorV27NtOy8+bNU9OmTRUaGqrixYsrKipK06ZNK8BoAQ8QGGhtUbBggfUuCl98Id12m7WDxL//loYNk+rXt7Y2eOEF6y0c09PdHTUAAACAQsTtLQxmz56tfv36acKECYqOjta4ceM0Z84c7dixQ+XKlXMqv2LFCp06dUp16tSRr6+vfvjhBz3zzDP68ccf1bFjx2y356mZHSBfnDwpffut9S4LS5dKqamX5pUvL3XrJt15p9SmDXdbAAAAAPKJp56Huj1hEB0drWbNmunjjz+WJKWnp6tSpUp68skn9eKLL+ZoHddff706d+6skSNHZlvWUz8oIN+dOSMtWmTt7+DHH63PbYKDpQ4drLdpvO02KSzMfXECAAAAHs5Tz0PdeklCamqq1q9fr5iYGPs0Ly8vxcTEaPXq1dkub4xRbGysduzYoZtvvtllmZSUFCUmJjoMACSVKGHtBPGrr6Rjx6xJg4ceksqWlRITpblzpQEDpPBwqXlz62UMv/3m2B8CAAAAgCLLrQmD48ePKy0tTWGX/XsZFhamuIy3h7tMQkKCgoKC5Ovrq86dO+ujjz5S+/btXZYdPXq0QkJC7EOlSpXy9TUARYKfn9SpkzRpknTkiLVPg1dfla6/3jp/3Tpp5EipVSupZElry4OxY639IdD3AQAAAFAkFXN3AHlRokQJbdy4UUlJSYqNjdXQoUNVrVo1tWnTxqnsSy+9pKFDh9qfJyYmkjQAsuLtLUVHW4cRI6T//pOWLLHebWHZMun4cWnhQusgWVsktGtnHWJipIgIt4YPAAAAIH+4tQ+D1NRUBQYGau7cuerWrZt9ev/+/XX69Gl99913OVrPQw89pIMHD2rJkiXZlvXUa0eAQiE9Xdq8Wfr5Zyk2Vlq50noLx4yqVbuUPLjlFqlMGffECgAAABQSnnoe6tZLEnx9fdWkSRPFxsbap6Wnpys2NlYtW7bM8XrS09OVkpJyNUIEkJGXl9SokfTMM9YWBqdOSb/8Yu3f4MYbrbdt3LPHemlDr17W1geNG0vPPmttoXD2rLtfAQAAAIAccvtdEmbPnq3+/ftr4sSJat68ucaNG6evv/5a27dvV1hYmPr166eKFStq9OjRkqx9EjRt2lTVq1dXSkqKFi5cqBdffFHjx4/XQw89lO32PDWzA3iEM2esCYTYWGsrhM2bHef7+EgtWlhbILRpY+1MMSDALaECAAAABcVTz0Pd3odBr169dOzYMQ0bNkxxcXGKiorS4sWL7R0hHjhwQF5elxpCnD17Vo8//rgOHTqkgIAA1alTR9OnT1evXr3c9RIA2JQoYe0QsXNn6/P4eGu/B7YEwv790q+/WgdJ8vWVmja1dqZ4001Sy5ZS6dLuix8AAACAndtbGBQ0T83sAB7PGOvlCrGx1uGXXyRXd0OpXt3a8qBZM+tj48ZSYGDBxwsAAADkE089DyVhAMA9jJF275Z++83a4mDVKmnHDudy3t5SgwaOSYTISGt/CQAAAIAH8NTzUBIGAAqPU6ekP/+U1q69NLhqhRAYKDVp4phEiIiQLJYCDxkAAADIjqeeh5IwAFB4GSMdPmxNHKxbd+nxzBnnsmXKOCYQmjWz3qUBAAAAcDNPPQ8lYQDAs6SnWy9dyJhE2LhRunDBuWzVqpeSB82aSVFREt97AAAAFDBPPQ8lYQDA86WkSJs2XUogrF0rbd/uumz16tL111s7U2zUyDpUqMDlDAAAALhqPPU8lIQBgKIpIUFav/5SAuHPP6WDB12XLV1aatjQmjxo0MA61KvH3RkAAACQLzz1PJSEAYBrx/Hj0l9/WYeNG62tEnbskNLSnMtaLFK1atbEQf361sd69aTatSV//wIPHQAAAJ7LU89DSRgAuLadPy9t3Sr9/bc1gfD339LmzdKxY67Le3lZL2uIjLQmECIjrUPt2rRIAAAAgEueeh5KwgAAXImPl/7559KwZYv18fRp1+UtFqlKFaluXetQp86lx9Kl6SMBAADgGuap56EkDAAgp4y5lEjYuvXS8M8/0okTmS8XGmptlVCjhvUx43j58tZWCwAAACiyPPU8lIQBAOSH48elbduchwMHsl7O3985iWAbr1xZ8vEpmPgBAABw1XjqeSgJAwC4mpKTpT17pN27pV27rI+28f37XXe4aOPtbb3MwVXLhGrV6DMBAADAQ3jqeWgxdwcAAEVaYKD1Lgv16zvPu3DBmjTImESwje/ebe2Qcc8e6+BKhQqOSYSMiYWSJa/u6wIAAECRRwsDACiM0tOlI0ecWyXYHhMSsl6+VKlLyYPq1aWqVaWICOtQqZLk61sQrwIAAADy3PNQEgYA4GmMkU6edH2Zw+7dUlxc1stbLNbOFitXtl7y4OoxJIQ7OwAAAOQTTz0PJWEAAEVNUpJjvwl79kj79l0azp/Pfh1BQdaWCNddd2moWNFxnNtFAgAA5IinnoeSMACAa4kx0tGj1rs3HDhg7UPh8sesbhGZkZ+fcyLh8udhYdbOGwEAAK5hnnoeSsIAAOAoOVk6dEg6eND6eOiQdPiw4/jRozlbl7e39fIHVy0UKla0zitf3tqiAQAAoIjy1PNQ7pIAAHAUGCjVqmUdMpOSIv33n3MiIeP4f/9Zbxtpm5aVoKBLyYOshpIluQwCAACggJAwAADknp+f9c4LVatmXiYtTYqPzzypYEs4JCdb+13491/rkBVfX+tlDrYhPNzxMeN0Om4EAAC4IiQMAABXh7e3VKGCdWjWLPNyZ85YbyGZ3XDqlJSaar1U4uDB7LdvSy6UK3fp0dVQtqx18PPLv9cOAABQBJAwAAC4V4kS1iGrSyAk690djh613jYyPt462MYzTouPlxIScpdckKTg4EvJA9uQMaFQpoz1zhC2gRYMAACgiCNhAADwDP7+UuXK1iE75887JhDi46Vjx6zD0aOXhvh46fhx6eJFKTHROuzenbN4vL2tfSpkTCLkZKAlAwAA8BAkDAAARY+/v1SlinXIjjHS6dPWBIItoWBLLmQcjh+33nLyxAlrvwtpadZpx4/nLrbixa2Jg1Klcp5kCAmRvLzy9FYAAADkFQkDAMC1zWKxthQoWVKqXTtny5w/L508eSmBkJPh5EkpPV06e9Y6HDiQ8xi9vBwTDLbxUqWk0FDro+012IbQUOsjLRoAAEAekTAAACC3/P0vdeiYU+np1r4VcptoOHvWumxeWjNIUkDApeRBxkRCaKh1CAm5NH75EBIi+fjkfpsAAKBIIGEAAEBB8PK6dNJevXrOl0tJudRCwVWrhVOnrJdUnDrlOCQkWC+3OHfOOhw5kre4ixe3Jg5cDbakQnBw1o+0cgAAwCORMAAAoDDz88t9awbJ2iohMdE5oXD69KXnCQmXHm3TbUNSknU9tkso/vsv76/B1zfzhEJmQ0iI9e4ZtuclSlhbdnBnCgAACgwJAwAAiiIvr0uXFuSF7c4Rp09fSigkJDgOtmmJia4fbUmH1NRLnUdeiWLFLiUPbMkEV+MZh6CgS48Zx0uU4HILAACyQcIAAAA4K1bM2pliqVJ5X0damnTmTOYJBdu8jNMzPrfNtyUeLl60XoZx8mT+vEZfX+ekwuWPxYvn7jEggDtaAACKDBIGAADg6vD2vrJWDjbp6dakQcaEwpkzjkPGabYkQ1KS9fnlj6mp1vWmpl7qDyI/FS+e+0RDTh69vfM3TgAAskHCAAAAFG5eXpf6MsgPqamXEgoZkwmuEgxJSdY+HLJ7PHv20vptz48ezZ94bXx9LyUjiheXAgMdh8unuSqT2RAQYB18fOgnAgBgR8IAAABcW3x9r/xyi8ulp1vvRpHTBIOrx8zmpadbt5Gaah1Oncq/uC/n5eWYQAgIcH7ualpelgkIsF76AgAotNhLAwAAXCkvr0v//OcnY6Tz56Xk5EstF86etT7POGScdvasNXlhm2Z7fvkyGecZY92e7fIPW78RV5uPT+6TDP7+lx5t435+l55nHL/8uW2clhQAkCMkDAAAAAori+XSiXLp0ldnG8ZYWy4kJ1uTB7bh8ueupuVlmfPnL237wgXrkJh4dV5bZiyWnCUWcpqAyEs5Pz+SFgAKPRIGAAAA1zLbybOfn1Sy5NXfXnq6NWmQl8TE+fOXls04npJy6Xlm47bOLqVLLTcyJi/cwdf36iUtbJ9pxsHX13nc19d6aQjJCwAukDAAAABAwbH1kxAYWLDbTU+3Jg2ySyxkHL8a5TKy9UtR0C0sLmexOCYQXD1mNS+3ZS8fv3zw8XF+TkIDcAsSBgAAACj6vLwu/fvuLsZYL8G4GsmIy5exTbNNtyUnbNMuj8vV9MLEx8c5kZBZgiEv0zNOs41nfMy4/YzPM5vm40PLDRQJJAwAAACAgmD7J9/XN/9uE5oXxkgXL15KIOT1Ma/LXp68sPVlkXH65WxlkpML/v26Eq4SCZklGLKal9X0YsWsQ8ZExeWJi9yMZzaPBMg1iYQBAAAAcC2xWC6dDOb3nT3ygzFSWppjciFjQuHyIa/zLi9z+aNtPOP0y8czPrfdbSQjW5miwts7fxITWT3mdbxzZ+sj8hUJAwAAAACFh8Vy6USwoPu6uBJpaY6JBFfJhas1/+LFS9NyMp6Tcpm9xrQ093cY6sqZMyQMrgISBgAAAABwpby9rYM7+8nIL7ZWHrlNMuQkMWF77uoxu/ELFxzjss27eJFkwVVCwgAAAAAAcEnGVh5FIQGCPPNydwAAAAAAAKDwIWEAAAAAAACckDAAAAAAAABOSBgAAAAAAAAnJAwAAAAAAIATEgYAAAAAAMBJoUgYfPLJJ4qIiJC/v7+io6O1du3aTMtOmjRJrVq1UsmSJVWyZEnFxMRkWR4AAAAAAOSe2xMGs2fP1tChQzV8+HBt2LBBjRo1UseOHXX06FGX5VesWKE+ffpo+fLlWr16tSpVqqQOHTro8OHDBRw5AAAAAABFl8UYY9wZQHR0tJo1a6aPP/5YkpSenq5KlSrpySef1Isvvpjt8mlpaSpZsqQ+/vhj9evXz2l+SkqKUlJS7M8TExNVqVIlJSQkKDg4OP9eCAAAAAAALiQmJiokJMTjzkPd2sIgNTVV69evV0xMjH2al5eXYmJitHr16hytIzk5WRcuXFCpUqVczh89erRCQkLsQ6VKlfIldgAAAAAAijK3JgyOHz+utLQ0hYWFOUwPCwtTXFxcjtbxwgsvqEKFCg5Jh4xeeuklJSQk2IeDBw9ecdwAAAAAABR1xdwdwJUYM2aMZs2apRUrVsjf399lGT8/P/n5+dmf267ASExMLJAYAQAAAADXNtv5p5t7BMg1tyYMypQpI29vb8XHxztMj4+PV3h4eJbLvvvuuxozZox+/vlnNWzYMMfbPHPmjCRxaQIAAAAAoECdOXNGISEh7g4jx9yaMPD19VWTJk0UGxurbt26SbJ2ehgbG6snnngi0+XefvttjRo1SkuWLFHTpk1ztc0KFSro4MGDKlGihCwWy5WEf9XZOmg8ePCgR3WMAfehziC3qDPILeoMcos6g9yiziC3PKHOGGN05swZVahQwd2h5IrbL0kYOnSo+vfvr6ZNm6p58+YaN26czp49qwEDBkiS+vXrp4oVK2r06NGSpLfeekvDhg3TzJkzFRERYe/rICgoSEFBQdluz8vLS9ddd93Ve0FXQXBwcKGt+CicqDPILeoMcos6g9yiziC3qDPIrcJeZzypZYGN2xMGvXr10rFjxzRs2DDFxcUpKipKixcvtneEeODAAXl5Xeqbcfz48UpNTVWPHj0c1jN8+HC99tprBRk6AAAAAABFltsTBpL0xBNPZHoJwooVKxye79u37+oHBAAAAADANc6tt1VE1vz8/DR8+HCHuzwAWaHOILeoM8gt6gxyizqD3KLOILeoM1ePxXjafR0AAAAAAMBVRwsDAAAAAADghIQBAAAAAABwQsIAAAAAAAA4IWEAAAAAAACckDAopD755BNFRETI399f0dHRWrt2rbtDwlXwyy+/qGvXrqpQoYIsFou+/fZbh/nGGA0bNkzly5dXQECAYmJi9O+//zqUOXnypPr27avg4GCFhobqwQcfVFJSkkOZv//+W61atZK/v78qVaqkt99+2ymWOXPmqE6dOvL391eDBg20cOHCfH+9uHKjR49Ws2bNVKJECZUrV07dunXTjh07HMqcP39egwYNUunSpRUUFKS77rpL8fHxDmUOHDigzp07KzAwUOXKldNzzz2nixcvOpRZsWKFrr/+evn5+alGjRqaMmWKUzzsqwq/8ePHq2HDhgoODlZwcLBatmypRYsW2edTX5CdMWPGyGKxaMiQIfZp1Btk9Nprr8lisTgMderUsc+nvsCVw4cP695771Xp0qUVEBCgBg0a6M8//7TP53dwIWFQ6MyaNcv4+vqayZMnm3/++cc8/PDDJjQ01MTHx7s7NOSzhQsXmpdfftnMmzfPSDLz5893mD9mzBgTEhJivv32W7Np0yZz++23m6pVq5pz587Zy9x6662mUaNG5o8//jC//vqrqVGjhunTp499fkJCggkLCzN9+/Y1W7ZsMV999ZUJCAgwEydOtJdZtWqV8fb2Nm+//bbZunWreeWVV4yPj4/ZvHnzVX8PkDsdO3Y0X3zxhdmyZYvZuHGj6dSpk6lcubJJSkqylxk4cKCpVKmSiY2NNX/++adp0aKFueGGG+zzL168aOrXr29iYmLMX3/9ZRYuXGjKlCljXnrpJXuZPXv2mMDAQDN06FCzdetW89FHHxlvb2+zePFiexn2VZ5hwYIF5scffzQ7d+40O3bsMP/73/+Mj4+P2bJlizGG+oKsrV271kRERJiGDRuawYMH26dTb5DR8OHDTb169cyRI0fsw7Fjx+zzqS+43MmTJ02VKlXM/fffb9asWWP27NljlixZYnbt2mUvw+/gwoGEQSHUvHlzM2jQIPvztLQ0U6FCBTN69Gg3RoWr7fKEQXp6ugkPDzfvvPOOfdrp06eNn5+f+eqrr4wxxmzdutVIMuvWrbOXWbRokbFYLObw4cPGGGM+/fRTU7JkSZOSkmIv88ILL5jatWvbn/fs2dN07tzZIZ7o6Gjz6KOP5utrRP47evSokWRWrlxpjLHWER8fHzNnzhx7mW3bthlJZvXq1cYYa6LKy8vLxMXF2cuMHz/eBAcH2+vJ888/b+rVq+ewrV69epmOHTvan7Ov8lwlS5Y0n332GfUFWTpz5oypWbOmWbp0qWndurU9YUC9weWGDx9uGjVq5HIe9QWuvPDCC+amm27KdD6/gwsPLkkoZFJTU7V+/XrFxMTYp3l5eSkmJkarV692Y2QoaHv37lVcXJxDXQgJCVF0dLS9LqxevVqhoaFq2rSpvUxMTIy8vLy0Zs0ae5mbb75Zvr6+9jIdO3bUjh07dOrUKXuZjNuxlaHOFX4JCQmSpFKlSkmS1q9frwsXLjh8nnXq1FHlypUd6k2DBg0UFhZmL9OxY0clJibqn3/+sZfJqk6wr/JMaWlpmjVrls6ePauWLVtSX5ClQYMGqXPnzk6fLfUGrvz777+qUKGCqlWrpr59++rAgQOSqC9wbcGCBWratKnuvvtulStXTo0bN9akSZPs8/kdXHiQMChkjh8/rrS0NIcdpiSFhYUpLi7OTVHBHWyfd1Z1IS4uTuXKlXOYX6xYMZUqVcqhjKt1ZNxGZmWoc4Vbenq6hgwZohtvvFH169eXZP0sfX19FRoa6lD28nqT1zqRmJioc+fOsa/yMJs3b1ZQUJD8/Pw0cOBAzZ8/X5GRkdQXZGrWrFnasGGDRo8e7TSPeoPLRUdHa8qUKVq8eLHGjx+vvXv3qlWrVjpz5gz1BS7t2bNH48ePV82aNbVkyRI99thjeuqppzR16lRJ/A4uTIq5OwAAQN4MGjRIW7Zs0W+//ebuUFDI1a5dWxs3blRCQoLmzp2r/v37a+XKle4OC4XUwYMHNXjwYC1dulT+/v7uDgce4LbbbrOPN2zYUNHR0apSpYq+/vprBQQEuDEyFFbp6elq2rSp3nzzTUlS48aNtWXLFk2YMEH9+/d3c3TIiBYGhUyZMmXk7e3t1HNsfHy8wsPD3RQV3MH2eWdVF8LDw3X06FGH+RcvXtTJkycdyrhaR8ZtZFaGOld4PfHEE/rhhx+0fPlyXXfddfbp4eHhSk1N1enTpx3KX15v8longoODFRAQwL7Kw/j6+qpGjRpq0qSJRo8erUaNGumDDz6gvsCl9evX6+jRo7r++utVrFgxFStWTCtXrtSHH36oYsWKKSwsjHqDLIWGhqpWrVratWsX+xm4VL58eUVGRjpMq1u3rv1SFn4HFx4kDAoZX19fNWnSRLGxsfZp6enpio2NVcuWLd0YGQpa1apVFR4e7lAXEhMTtWbNGntdaNmypU6fPq3169fbyyxbtkzp6emKjo62l/nll1904cIFe5mlS5eqdu3aKlmypL1Mxu3YylDnCh9jjJ544gnNnz9fy5YtU9WqVR3mN2nSRD4+Pg6f544dO3TgwAGHerN582aHg+zSpUsVHBxsP3hnVyfYV3m29PR0paSkUF/gUrt27bR582Zt3LjRPjRt2lR9+/a1j1NvkJWkpCTt3r1b5cuXZz8Dl2688Uan20Lv3LlTVapUkcTv4ELF3b0uwtmsWbOMn5+fmTJlitm6dat55JFHTGhoqEPPsSgazpw5Y/766y/z119/GUlm7Nix5q+//jL79+83xlhvJxMaGmq+++478/fff5s77rjD5e1kGjdubNasWWN+++03U7NmTYfbyZw+fdqEhYWZ++67z2zZssXMmjXLBAYGOt1OplixYubdd98127ZtM8OHD+d2MoXUY489ZkJCQsyKFSscbl+VnJxsLzNw4EBTuXJls2zZMvPnn3+ali1bmpYtW9rn225f1aFDB7Nx40azePFiU7ZsWZe3r3ruuefMtm3bzCeffOLy9lXsqwq/F1980axcudLs3bvX/P333+bFF180FovF/PTTT8YY6gtyJuNdEoyh3sDRM888Y1asWGH27t1rVq1aZWJiYkyZMmXM0aNHjTHUFzhbu3atKVasmBk1apT5999/zYwZM0xgYKCZPn26vQy/gwsHEgaF1EcffWQqV65sfH19TfPmzc0ff/zh7pBwFSxfvtxIchr69+9vjLHeUubVV181YWFhxs/Pz7Rr187s2LHDYR0nTpwwffr0MUFBQSY4ONgMGDDAnDlzxqHMpk2bzE033WT8/PxMxYoVzZgxY5xi+frrr02tWrWMr6+vqVevnvnxxx+v2utG3rmqL5LMF198YS9z7tw58/jjj5uSJUuawMBAc+edd5ojR444rGffvn3mtttuMwEBAaZMmTLmmWeeMRcuXHAos3z5chMVFWV8fX1NtWrVHLZhw76q8HvggQdMlSpVjK+vrylbtqxp166dPVlgDPUFOXN5woB6g4x69eplypcvb3x9fU3FihVNr169zK5du+zzqS9w5fvvvzf169c3fn5+pk6dOub//u//HObzO7hwsBhjjHvaNgAAAAAAgMKKPgwAAAAAAIATEgYAAAAAAMAJCQMAAAAAAOCEhAEAAAAAAHBCwgAAAAAAADghYQAAAAAAAJyQMAAAAAAAAE5IGAAAAAAAACckDAAAwBWLiIjQuHHj3B0GAADIRyQMAADwMPfff7+6desmSWrTpo2GDBlSYNueMmWKQkNDnaavW7dOjzzySIHFAQAArr5i7g4AAAC4X2pqqnx9ffO8fNmyZfMxGgAAUBjQwgAAAA91//33a+XKlfrggw9ksVhksVi0b98+SdKWLVt02223KSgoSGFhYbrvvvt0/Phx+7Jt2rTRE088oSFDhqhMmTLq2LGjJGns2LFq0KCBihcvrkqVKunxxx9XUlKSJGnFihUaMGCAEhIS7Nt77bXXJDlfknDgwAHdcccdCgoKUnBwsHr27Kn4+Hj7/Ndee01RUVGaNm2aIiIiFBISot69e+vMmTP2MnPnzlWDBg0UEBCg0qVLKyYmRmfPnr1K7yYAALgcCQMAADzUBx98oJYtW+rhhx/WkSNHdOTIEVWqVEmnT5/WLbfcosaNG+vPP//U4sWLFR8fr549ezosP3XqVPn6+mrVqlWaMGGCJMnLy0sffvih/vnnH02dOlXLli3T888/L0m64YYbNG7cOAUHB9u39+yzzzrFlZ6erjvuuEMnT57UypUrtXTpUu3Zs0e9evVyKLd79259++23+uGHH/TDDz9o5cqVGjNmjCTpyJEj6tOnjx544AFt27ZNK1asUPfu3WWMuRpvJQAAcIFLEgAA8FAhISHy9fVVYGCgwsPD7dM//vhjNW7cWG+++aZ92uTJk1WpUiXt3LlTtWrVkiTVrFlTb7/9tsM6M/aHEBERoTfeeEMDBw7Up59+Kl9fX4WEhMhisThs73KxsbHavHmz9u7dq0qVKkmSvvzyS9WrV0/r1q1Ts2bNJFkTC1OmTFGJEiUkSffdd59iY2M1atQoHTlyRBcvXlT37t1VpUoVSVKDBg2u4N0CAAC5RQsDAACKmE2bNmn58uUKCgqyD3Xq1JFk/VffpkmTJk7L/vzzz2rXrp0qVqyoEiVK6L777tOJEyeUnJyc4+1v27ZNlSpVsicLJCkyMlKhoaHatm2bfVpERIQ9WSBJ5cuX19GjRyVJjRo1Urt27dSgQQPdfffdmjRpkk6dOpXzNwEAAFwxEgYAABQxSUlJ6tq1qzZu3Ogw/Pvvv7r55pvt5YoXL+6w3L59+9SlSxc1bNhQ33zzjdavX69PPvlEkrVTxPzm4+Pj8NxisSg9PV2S5O3traVLl2rRokWKjIzURx99pNq1a2vv3r35HgcAAHCNhAEAAB7M19dXaWlpDtOuv/56/fPPP4qIiFCNGjUchsuTBBmtX79e6enpeu+999SiRQvVqlVL//33X7bbu1zdunV18OBBHTx40D5t69atOn36tCIjI3P82iwWi2688Ua9/vrr+uuvv+Tr66v58+fneHkAAHBlSBgAAODBIiIitGbNGu3bt0/Hjx9Xenq6Bg0apJMnT6pPnz5at26ddu/erSVLlmjAgAFZnuzXqFFDFy5c0EcffaQ9e/Zo2rRp9s4QM24vKSlJsbGxOn78uMtLFWJiYtSgQQP17dtXGzZs0Nq1a9WvXz+1bt1aTZs2zdHrWrNmjd588039+eefOnDggObNm6djx46pbt26uXuDAABAnpEwAADAgz377LPy9vZWZGSkypYtqwMHDqhChQpatWqV0tLS1KFDBzVo0EBDhgxRaGiovLwyP/Q3atRIY8eO1VtvvaX69etrxowZGj16tEOZG264QQMHDlSvXr1UtmxZp04TJWvLgO+++04lS5bUzTffrJiYGFWrVk2zZ8/O8esKDg7WL7/8ok6dOqlWrVp65ZVX9N577+m2227L+ZsDAACuiMVwfyIAAAAAAHAZWhgAAAAAAAAnJAwAAAAAAIATEgYAAAAAAMAJCQMAAAAAAOCEhAEAAAAAAHBCwgAAAAAAADghYQAAAAAAAJyQMAAAAAAAAE5IGAAAAAAAACckDAAAAAAAgBMSBgAAAAAAwMn/Axe6xX/1BvTrAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# mini-batch\n",
    "theta = run_expe(scaled_data, theta, 16, STOP_GRAD, threshold=0.002*2, alpha=0.001)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "4422da98-a81b-4c39-8f7e-d7dc7d79bf7a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义预测函数，输入为特征数据X和参数theta，输出为预测结果列表\n",
    "def predict(X, theta):\n",
    "    return [1 if x >= 0.5 else 0 for x in model(X, theta)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "58236e2f-fff2-426d-bd42-e091060838db",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "accuracy = 89%\n"
     ]
    }
   ],
   "source": [
    "# 提取scaled_data的前3列作为特征数据，赋值给scaled_X\n",
    "scaled_X = scaled_data[:, :3]\n",
    "# 提取scaled_data的第4列作为标签数据，赋值给y\n",
    "y = scaled_data[:, 3]\n",
    "\n",
    "# 使用predict函数对scaled_X进行预测，得到预测结果列表predictions\n",
    "predictions = predict(scaled_X, theta)\n",
    "\n",
    "# 计算预测结果与实际标签的一致性，将一致的结果标记为1，不一致的结果标记为0，得到correct列表\n",
    "correct = [1 if ((a == 1 and b == 1) or (a == 0 and b == 0)) else 0 for (a, b) in zip(predictions, y)]\n",
    "\n",
    "# 计算准确率，将correct列表中的元素转换为整数并求和，然后对correct列表的长度取余，得到准确率\n",
    "accuracy = (sum(map(int, correct)) % len(correct))\n",
    "print('accuracy = {0}%'.format(accuracy))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fe92f348-1708-414a-bece-63b5c415b80f",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
